# operator-routing-eq-ord.1 — Implementation Plan

> **Parent spec:** `docs/specs/0049-operator-routing-eq-ord.md`
>
> **For agentic workers:** REQUIRED SUB-SKILL: use `skills/implement`
> to run this plan. Steps use `- [ ]` checkboxes for tracking.

**Goal:** Drop the surface comparator names `==` / `!=` / `<` / `<=` / `>` / `>=` from the language, route the LLM-author's `(app eq …)` / `(app compare …)` / `(app ne|lt|le|gt|ge …)` through the existing `prelude.Eq` / `prelude.Ord` class-dispatch path, ship six named Float-comparison fns (`float_eq` / `float_ne` / `float_lt` / `float_le` / `float_gt` / `float_ge`) so Float keeps comparability without an `Eq Float` / `Ord Float` instance, and emit primitive instance bodies with `alwaysinline` so the `-O0` IR shape stays at one instruction per comparison.

**Architecture:** One cohesive iteration across seven layers — typchecker builtins, codegen builtin-binop table, codegen primitive-instance intercept (extended with three new Eq arms + six new float-fn arms + `alwaysinline` attribute emission), codegen `==`-polymorphic-dispatch path (`lower_eq` whole fn) deleted, lit-pattern desugar (`build_eq` substitutes `eq`), prelude module (Eq Unit added, six float-fns added, primitive instance bodies become placeholders), and full migration of 60 fixtures + 8 in-source `#[cfg(test)] mod tests` AST-literal scaffolds + 3 hash-pin re-pins + 2 IR-snapshot regenerations + 5 contract-file updates.

**Tech Stack:** `crates/ailang-check` (typechecker, in-source mod tests), `crates/ailang-codegen` (intercept + fn-attribute emission + `lower_eq` deletion), `crates/ailang-core` (desugar), `crates/ailang-prose` (binop_info cleanup), `examples/prelude.ail` (canonical class declarations), full E2E test suite (`crates/ail/tests/`), bench corpus (`bench/check.py` / `compile_check.py` / `cross_lang.py`).

---

**Files this plan creates or modifies:**

- Create: `examples/eq_user_adt_smoke.ail` — north-star fixture (Point ADT + user `instance Eq Point` + Unit-eq line to ensure RED today)
- Create: `examples/eq_float_must_fail.ail` — Klausel-3 discriminator (must fail at typecheck with `NoInstance Eq Float` + `float_eq` hint)
- Create: `examples/float_compare_smoke.ail` — Float named-fn happy path
- Create: `examples/operator_unbound_check.ail` — minimal `(app == 5 5)` fixture for the unbound-pin
- Create: `crates/ail/tests/eq_user_adt_smoke_e2e.rs` — drives the north-star, asserts `"true\ntrue\nfalse\n"` (Unit, then Point eq, then Point neq)
- Create: `crates/ail/tests/eq_float_must_fail_pin.rs` — drives `ail check`, asserts non-zero + `NoInstance Eq Float` AND `float_eq` substrings
- Create: `crates/ail/tests/float_compare_smoke_e2e.rs` — drives the float-named-fn fixture, asserts `"true\ntrue\nfalse\n"`
- Create: `crates/ail/tests/operator_names_unbound_pin.rs` — drives `(app == 5 5)`, asserts `ail check` exits non-zero with stderr containing `unknown variable: ==`
- Create: `crates/ail/tests/prelude_eq_alwaysinline_ir_pin.rs` — compiles with `--emit-ir --opt=O0`; asserts the generated `define` for `@ail_prelude_eq__Int` carries the `alwaysinline` attribute
- Modify: `examples/prelude.ail:9` — drop "P2 follow-up" comment on `class Eq`
- Modify: `examples/prelude.ail:12-29` — `Eq Int` / `Eq Bool` / `Eq Str` instance bodies become placeholder shape (`(body false)` lambda); doc-comments updated
- Modify: `examples/prelude.ail` (insert after Eq Str instance, before Ord) — new `instance Eq Unit`
- Modify: `examples/prelude.ail` (insert after `print` fn, before final paren) — six new `float_*` free fns (`float_eq`/`float_ne`/`float_lt`/`float_le`/`float_gt`/`float_ge`)
- Modify: `crates/ailang-check/src/builtins.rs:96-98` — delete the `["!=", "<", "<=", ">", ">="]` comparator-loop install
- Modify: `crates/ailang-check/src/builtins.rs:100-125` — delete `==` polymorphic Forall block + its 6-line comment band
- Modify: `crates/ailang-check/src/builtins.rs:303-308` — delete the 6 list-side mirror rows for `==` / `!=` / `<` / `<=` / `>` / `>=`
- Modify: `crates/ailang-codegen/src/synth.rs:263-267` — delete the 5 Int comparator arms in `builtin_binop_typed`
- Modify: `crates/ailang-codegen/src/synth.rs:268-276` — delete the 5 Float comparator arms (`fcmp une`/`olt`/`ole`/`ogt`/`oge`); the comment band at 260-262 + 268-271 rewrites to "arithmetic-only" framing
- Modify: `crates/ailang-codegen/src/lib.rs:68-73` — `is_arithmetic_or_comparison_op` reduces to arithmetic-only; rename to `is_arithmetic_op` + update doc-comment lines 60-67
- Modify: `crates/ailang-codegen/src/lib.rs:2133` — delete the `if name == "=="` short-circuit in `lower_app`
- Modify: `crates/ailang-codegen/src/lib.rs:2529` — delete the `name == "=="` clause in `is_static_callee`
- Modify: `crates/ailang-codegen/src/lib.rs:2879-2964` — delete the entire `lower_eq` fn
- Modify: `crates/ailang-codegen/src/lib.rs:1213-1259` — `emit_fn` gains conditional `alwaysinline` attribute emission on the `define` line for symbols that match the alwaysinline-allowlist
- Modify: `crates/ailang-codegen/src/lib.rs:2691-2806` — `try_emit_primitive_instance_body` gains 9 new arms (`eq__Int`, `eq__Bool`, `eq__Unit`, `float_eq`, `float_ne`, `float_lt`, `float_le`, `float_gt`, `float_ge`)
- Modify: `crates/ailang-codegen/src/lib.rs:3263-end` — in-source `mod tests` AST-literal sites at lines 3371, 3419, 3729-3734, 4354 migrate from `==` to `eq` (or delete tests whose semantics are tied to the now-deleted `lower_eq` rejection wording)
- Modify: `crates/ailang-core/src/desugar.rs:1099` — `build_eq` function emits `Term::Var { name: "eq" }` instead of `"=="` at line 1109; doc-comment at 1098 updated
- Modify: `crates/ailang-core/src/desugar.rs:2414` — in-source `mod tests` AST-literal migrates from `==` to `eq`
- Modify: `crates/ailang-check/src/lib.rs:856-880` — Float-aware NoInstance addendum extended to name `float_eq` / `float_lt` as the explicit alternative
- Modify: `crates/ailang-check/src/lib.rs:5656` — in-source `mod tests` AST-literal migrates from `>=` to `ge`
- Modify: `crates/ailang-check/src/lib.rs:6092` — in-source `mod tests` AST-literal migrates from `==` to `eq` (the `eq_app` helper at 6088 and callers at 6097-6128)
- Modify: `crates/ailang-check/src/lib.rs:6220` — second in-source `mod tests` AST-literal migrates from `==` to `eq`
- Modify: `crates/ailang-check/src/builtins.rs:413-432` — in-source `mod tests` `<` smoke tests migrate to `lt` (or delete if redundant with class-dispatch coverage)
- Modify: 60 fixtures under `examples/` — full bulk migration of `(app == …)` → `(app eq …)`, `(app != …)` → `(app ne …)`, `(app < …)` → `(app lt …)`, etc. Float-typed operand sites migrate to `(app float_eq …)` / `(app float_lt …)` / etc. The grep `grep -rln '(app == \|(app != \|(app < \|(app <= \|(app > \|(app >=' examples/` enumerates the live set; expected count drops from 60 to 0.
- Modify: `examples/eq_ord_user_adt.ail:21` — `(app == ai bi)` → `(app eq ai bi)` (lockstep with `crates/ail/tests/eq_ord_e2e.rs:134` body-hash re-pin)
- Modify: `examples/eq_demo.ail:1-23` — doc-comment header rewrites from the polymorphic-`==` story to the class-dispatch story
- Modify: `crates/ail/tests/e2e.rs:1351-1360` — `eq_demo` test doc-comment rewrites alongside the fixture
- Modify: `crates/ailang-surface/tests/prelude_module_hash_pin.rs:16` — regenerate prelude module hash literal
- Modify: `crates/ail/tests/mono_hash_stability.rs:50-55` — re-pin six body-hash literals for `eq__Int`/`eq__Bool`/`eq__Str`/`compare__Int`/`compare__Bool`/`compare__Str`
- Modify: `crates/ail/tests/eq_ord_e2e.rs:134` — re-pin `eq__IntBox` body-hash literal (`3c4cf040cb4e8bb2` → new value)
- Modify: `crates/ail/tests/eq_float_noinstance.rs:32-44` — assertion extended to include `float_eq` substring in the diagnostic
- Modify: `crates/ail/tests/snapshots/sum.ll` — regenerate via `UPDATE_SNAPSHOTS=1` (sum.ail uses `==` in lit-pattern desugar)
- Modify: `crates/ail/tests/snapshots/max3.ll` — regenerate via `UPDATE_SNAPSHOTS=1` (max3.ail uses `>` directly)
- Modify: `crates/ailang-prose/src/lib.rs:546-563` — delete the 6 comparator arms from `binop_info` (dead code after operator-name removal)
- Modify: `crates/ailang-prose/src/lib.rs:1952, 2020-2062` — delete the 3 in-source `mod tests` that pinned comparator-infix rendering
- Modify: `design/contracts/0005-float-semantics.md:10-31, :98-99` — transfer comparison guarantees from `==` / `<` / `!=` to `float_eq` / `float_lt` / `float_ne` (arithmetic guarantees on `+` / `-` / `*` / `/` unchanged); `==` / `<` / `!=` mentions removed from the present-tense surface description
- Modify: `design/contracts/0017-prelude-classes.md:5-13` — instance list extends with `Eq Unit`; new paragraph on the six `float_*` fns; Float-no-Eq/Ord clause gains `→ use float_eq` cross-reference
- Modify: `design/contracts/0011-str-abi.md:40-42` — rewrite "`==`, `<`, …  REMAIN primitive operators" clause to describe the class-method dispatch path
- Modify: `design/contracts/0010-scope-boundaries.md:42-96` — operator-name mentions and `Pattern::Lit`-desugar-to-`==` clauses rewrite to the class-dispatch present
- Modify: `design/models/0001-authoring-surface.md:58` — drop `==` / `<=` from the operator-example list; the example becomes arithmetic-only or names class methods explicitly

---

## Per-task expected-state map

After each task lands, the workspace test suite is in a known partial-pass state. Task 12 (acceptance gate) is the only "all green" milestone.

| After Task | New tests green? | Existing tests still green? | Notes |
|---|---|---|---|
| 1 (bootstrap) | none (all RED) | yes | New fixtures + RED tests added; no behaviour shift |
| 2 (codegen intercept + alwaysinline) | `prelude_eq_alwaysinline_ir_pin` GREEN | yes | Intercept overrides today's `(app == x y)` body for primitive instances; output unchanged |
| 3 (prelude reshape + hash re-pin) | none new | yes | Primitive bodies become placeholders; intercept does the work; pins re-pinned |
| 4 (fixture migration) | none new | yes (all `eq` dispatches today) | All 60 fixtures use `eq`/`lt`/etc.; `==` no longer in any fixture |
| 5 (test-scaffold migration) | none new | yes | In-source mod tests use `eq` in AST literals |
| 6 (lit-pattern desugar) | none new | yes | `build_eq` emits `eq`; lit-pattern paths route through class-dispatch |
| 7 (delete dead operator machinery) | `operator_names_unbound_pin` GREEN | yes (all callers migrated by tasks 4-6) | `==` / `<` / etc. become unknown identifiers |
| 8 (Float NoInstance hint + assertion extend) | `eq_float_must_fail_pin` GREEN | yes (existing `eq_float_noinstance` assertion extended) | Diagnostic mentions `float_eq` |
| 9 (IR snapshot regeneration) | none new | yes | `sum.ll` / `max3.ll` regenerated |
| 10 (prose cleanup) | none new | yes | Dead binop_info arms + tests deleted |
| 11 (contract updates) | none new | yes | Honesty-rule compliance for 5 design files |
| 12 (acceptance gate) | `eq_user_adt_smoke_e2e`, `float_compare_smoke_e2e` GREEN (Unit-eq path needs Task 2's intercept arm + Task 3's prelude instance; Float-fn path needs both same; user-Point path is already covered by today's eq dispatch — see TDD note in Task 1) | yes | Full workspace `0 failed`; bench corpus exit 0 |

---

## Task 1: Bootstrap — RED tests + new fixtures

**Files:**
- Create: `examples/eq_user_adt_smoke.ail` (north-star)
- Create: `examples/eq_float_must_fail.ail` (Klausel-3 discriminator)
- Create: `examples/float_compare_smoke.ail` (Float happy path)
- Create: `examples/operator_unbound_check.ail` (unbound-`==` fixture)
- Create: `crates/ail/tests/eq_user_adt_smoke_e2e.rs`
- Create: `crates/ail/tests/eq_float_must_fail_pin.rs`
- Create: `crates/ail/tests/float_compare_smoke_e2e.rs`
- Create: `crates/ail/tests/operator_names_unbound_pin.rs`
- Create: `crates/ail/tests/prelude_eq_alwaysinline_ir_pin.rs`

- [ ] **Step 1: Write the north-star fixture**

Create `examples/eq_user_adt_smoke.ail`:

```
(module eq_user_adt_smoke
  (data Point
    (doc "Two-Int-field record. The milestone-defining north-star: an LLM author writes `instance Eq Point` and calls `(app eq p1 p2)` end-to-end through class-dispatch.")
    (ctor Point (con Int) (con Int)))
  (instance
    (class prelude.Eq)
    (type (con Point))
    (doc "Eq Point by structural comparison of the two Int fields. The nested `(app eq a1 a2)` calls dispatch to prelude.Eq.eq's Int instance.")
    (method eq
      (body (lam (params (typed p1 (con Point)) (typed p2 (con Point))) (ret (con Bool)) (body (match p1
        (case (pat-ctor Point a1 b1) (match p2
          (case (pat-ctor Point a2 b2) (if (app eq a1 a2) (app eq b1 b2) false))))))))))
  (fn main
    (type (fn-type (params) (ret (con Unit)) (effects IO)))
    (params)
    (body
      (let p1 (term-ctor Point 1 2)
      (let p2 (term-ctor Point 1 2)
      (let p3 (term-ctor Point 1 3)
        (seq (app print (app eq (lit-unit) (lit-unit)))
        (seq (app print (app eq p1 p2))
             (app print (app eq p1 p3)))))))))
```

- [ ] **Step 2: Write the north-star E2E test**

Create `crates/ail/tests/eq_user_adt_smoke_e2e.rs`:

```rust
//! North-star E2E for the operator-routing-eq-ord milestone:
//! exercises Eq Unit (new instance), user-ADT Eq Point with a
//! hand-written instance, and nested-Int Eq dispatch — all
//! through the class-method path with no `==` callee anywhere.
//!
//! Today this test fires `NoInstance Eq Unit` at typecheck
//! (Unit lacks an Eq instance), proving RED-first before the
//! milestone lands.

use std::path::PathBuf;
use std::process::Command;

#[test]
fn eq_user_adt_smoke_prints_unit_then_point_eq_then_neq() {
    let manifest_dir = env!("CARGO_MANIFEST_DIR");
    let repo_root = PathBuf::from(manifest_dir).join("../..");
    let fixture = repo_root.join("examples/eq_user_adt_smoke.ail");
    let bin = repo_root.join("target/debug/eq_user_adt_smoke_test_bin");

    let build = Command::new(env!("CARGO_BIN_EXE_ail"))
        .arg("build")
        .arg(&fixture)
        .arg("-o")
        .arg(&bin)
        .output()
        .expect("ail build failed to spawn");
    assert!(
        build.status.success(),
        "ail build failed: stderr={}",
        String::from_utf8_lossy(&build.stderr)
    );

    let run = Command::new(&bin)
        .output()
        .expect("binary failed to spawn");
    assert!(run.status.success(), "binary failed: stderr={}", String::from_utf8_lossy(&run.stderr));
    assert_eq!(
        String::from_utf8_lossy(&run.stdout).as_ref(),
        "true\ntrue\nfalse\n",
        "expected Unit-eq then Point-eq then Point-neq"
    );
}
```

- [ ] **Step 3: Write the must-fail fixture**

Create `examples/eq_float_must_fail.ail`:

```
(module eq_float_must_fail
  (fn main
    (doc "Klausel-3 discriminator. After operator-routing-eq-ord, `(app eq 1.5 1.5)` must fire `NoInstance Eq Float` with a follow-up sentence naming `float_eq` as the explicit IEEE-aware alternative. Today the diagnostic already fires (no Eq Float instance) but does not name `float_eq` — the milestone adds that hint.")
    (type (fn-type (params) (ret (con Unit)) (effects IO)))
    (params)
    (body (app print (app eq 1.5 1.5)))))
```

- [ ] **Step 4: Write the must-fail pin**

Create `crates/ail/tests/eq_float_must_fail_pin.rs`:

```rust
//! Pin: `(app eq 1.5 1.5)` must fail typecheck with NoInstance
//! Eq Float AND the diagnostic must mention `float_eq` as the
//! explicit alternative. Today the NoInstance fires (per
//! eq_float_noinstance.rs) but `float_eq` is not in the message
//! — the milestone adds that hint.

use std::path::PathBuf;
use std::process::Command;

#[test]
fn eq_float_must_fail_diagnostic_names_float_eq() {
    let manifest_dir = env!("CARGO_MANIFEST_DIR");
    let repo_root = PathBuf::from(manifest_dir).join("../..");
    let fixture = repo_root.join("examples/eq_float_must_fail.ail");

    let out = Command::new(env!("CARGO_BIN_EXE_ail"))
        .arg("check")
        .arg(&fixture)
        .output()
        .expect("ail check failed to spawn");

    assert!(
        !out.status.success(),
        "expected typecheck failure, got success: stdout={}",
        String::from_utf8_lossy(&out.stdout)
    );

    let stderr = String::from_utf8_lossy(&out.stderr);
    assert!(
        stderr.contains("NoInstance") && stderr.contains("Float"),
        "expected NoInstance + Float, got: {stderr}"
    );
    assert!(
        stderr.contains("float_eq"),
        "expected diagnostic to name `float_eq` as the explicit alternative; got: {stderr}"
    );
}
```

- [ ] **Step 5: Write the Float-named-fn happy-path fixture**

Create `examples/float_compare_smoke.ail`:

```
(module float_compare_smoke
  (fn main
    (doc "Float comparison via the named-fn surface that replaces the deleted operator names. Each float_* call lowers to a single fcmp via try_emit_primitive_instance_body.")
    (type (fn-type (params) (ret (con Unit)) (effects IO)))
    (params)
    (body
      (seq (app print (app float_eq 1.5 1.5))
      (seq (app print (app float_lt 1.0 2.0))
           (app print (app float_eq 1.0 0.0)))))))
```

- [ ] **Step 6: Write the Float-named-fn E2E**

Create `crates/ail/tests/float_compare_smoke_e2e.rs`:

```rust
//! E2E for the six float_* named comparison fns. After the
//! milestone, Float comparability survives via float_eq / float_lt
//! / etc. (no Eq Float instance, no `==` callee). Today this test
//! fires `unknown variable: float_eq` since the symbol does not
//! exist — RED-first.

use std::path::PathBuf;
use std::process::Command;

#[test]
fn float_compare_smoke_prints_true_true_false() {
    let manifest_dir = env!("CARGO_MANIFEST_DIR");
    let repo_root = PathBuf::from(manifest_dir).join("../..");
    let fixture = repo_root.join("examples/float_compare_smoke.ail");
    let bin = repo_root.join("target/debug/float_compare_smoke_test_bin");

    let build = Command::new(env!("CARGO_BIN_EXE_ail"))
        .arg("build")
        .arg(&fixture)
        .arg("-o")
        .arg(&bin)
        .output()
        .expect("ail build failed to spawn");
    assert!(
        build.status.success(),
        "ail build failed: stderr={}",
        String::from_utf8_lossy(&build.stderr)
    );

    let run = Command::new(&bin)
        .output()
        .expect("binary failed to spawn");
    assert!(run.status.success(), "binary failed: stderr={}", String::from_utf8_lossy(&run.stderr));
    assert_eq!(
        String::from_utf8_lossy(&run.stdout).as_ref(),
        "true\ntrue\nfalse\n",
        "expected float_eq then float_lt then float_eq mismatch"
    );
}
```

- [ ] **Step 7: Write the operator-unbound fixture**

Create `examples/operator_unbound_check.ail`:

```
(module operator_unbound_check
  (fn main
    (doc "Pin fixture. After operator-routing-eq-ord, `(app == 5 5)` must fail typecheck with `unknown variable: ==` — the operator names are no longer in the language. Today this typechecks (== is polymorphic over Int) — RED-first.")
    (type (fn-type (params) (ret (con Unit)) (effects IO)))
    (params)
    (body (app print (app == 5 5)))))
```

- [ ] **Step 8: Write the operator-unbound pin**

Create `crates/ail/tests/operator_names_unbound_pin.rs`:

```rust
//! Pin: the operator names `==` / `!=` / `<` / `<=` / `>` / `>=`
//! are NOT part of the language. Surface use of any of them must
//! resolve as `unknown variable: ==` (et al.). Today they all
//! typecheck (== polymorphic, the others monomorphic-Int) —
//! RED-first.

use std::path::PathBuf;
use std::process::Command;

#[test]
fn comparator_operator_name_is_unbound() {
    let manifest_dir = env!("CARGO_MANIFEST_DIR");
    let repo_root = PathBuf::from(manifest_dir).join("../..");
    let fixture = repo_root.join("examples/operator_unbound_check.ail");

    let out = Command::new(env!("CARGO_BIN_EXE_ail"))
        .arg("check")
        .arg(&fixture)
        .output()
        .expect("ail check failed to spawn");

    assert!(
        !out.status.success(),
        "expected typecheck failure for `(app == 5 5)`; got success: stdout={}",
        String::from_utf8_lossy(&out.stdout)
    );

    let stderr = String::from_utf8_lossy(&out.stderr);
    assert!(
        stderr.contains("unknown variable") && stderr.contains("=="),
        "expected `unknown variable: ==` diagnostic, got: {stderr}"
    );
}
```

- [ ] **Step 9: Write the alwaysinline IR pin**

Create `crates/ail/tests/prelude_eq_alwaysinline_ir_pin.rs`:

```rust
//! Pin: the codegen mechanism that emits primitive Eq/Ord
//! instance bodies (try_emit_primitive_instance_body) MUST
//! attach an `alwaysinline` attribute to the generated LLVM
//! function definition so the `-O0` build path inlines the
//! single-instruction body at every use site, matching the IR
//! shape the deleted `lower_eq` direct-emit produced. Without
//! `alwaysinline`, `ail run` (which defaults to -O0) pays a
//! function-call overhead per comparison.

use std::path::PathBuf;
use std::process::Command;

#[test]
fn prelude_eq_int_carries_alwaysinline_attribute_in_emitted_ir() {
    let manifest_dir = env!("CARGO_MANIFEST_DIR");
    let repo_root = PathBuf::from(manifest_dir).join("../..");
    let fixture = repo_root.join("examples/eq_demo.ail");

    let out = Command::new(env!("CARGO_BIN_EXE_ail"))
        .arg("emit-ir")
        .arg(&fixture)
        .output()
        .expect("ail emit-ir failed to spawn");
    assert!(
        out.status.success(),
        "ail emit-ir failed: stderr={}",
        String::from_utf8_lossy(&out.stderr)
    );

    let ir = String::from_utf8_lossy(&out.stdout);
    // Either form is acceptable:
    //   define i1 @ail_prelude_eq__Int(i64, i64) alwaysinline { ... }
    // (attribute appended to the define line). The grep checks for
    // both the symbol presence and the alwaysinline annotation in
    // the same line as the define.
    let saw_define_with_alwaysinline = ir
        .lines()
        .any(|line| line.contains("define") && line.contains("eq__Int") && line.contains("alwaysinline"));
    assert!(
        saw_define_with_alwaysinline,
        "expected `define … eq__Int … alwaysinline` in emitted IR; full IR follows:\n{ir}"
    );
}
```

- [ ] **Step 10: Run all 5 new tests; verify they FAIL with the expected RED shape**

Run: `cargo test --workspace --quiet eq_user_adt_smoke_prints_unit_then_point_eq_then_neq eq_float_must_fail_diagnostic_names_float_eq float_compare_smoke_prints_true_true_false comparator_operator_name_is_unbound prelude_eq_int_carries_alwaysinline_attribute_in_emitted_ir 2>&1 | tail -20`

Expected: all 5 tests in the run summary line as FAILED. The failure messages are:
- `eq_user_adt_smoke_...` — `ail build` fails (Unit-eq line fires `NoInstance Eq Unit`)
- `eq_float_must_fail_...` — `ail check` fails (good) but stderr does NOT contain `float_eq` → assertion-fail on the float_eq substring
- `float_compare_smoke_...` — `ail build` fails (`unknown variable: float_eq`)
- `comparator_operator_name_is_unbound` — `ail check` SUCCEEDS (`==` typechecks today) → assertion-fail on `!out.status.success()`
- `prelude_eq_int_carries_alwaysinline_attribute_in_emitted_ir` — `ail emit-ir` succeeds but IR contains no `alwaysinline` → assertion-fail on the grep

All 5 RED ratifies the start-of-milestone state. If any test passes here, the spec assumption is wrong — bounce back to brainstorm.

- [ ] **Step 11: Run `cargo build --workspace` to confirm the new files compile-check cleanly**

Run: `cargo build --workspace --tests 2>&1 | tail -5`
Expected: `Finished … profile [unoptimized + debuginfo] target(s) in …` (0 errors). The new test files are pure Rust + `Command` calls; the new `.ail` fixtures aren't compiled by `cargo build`.

---

## Task 2: Codegen — alwaysinline emission + new intercept arms

**Files:**
- Modify: `crates/ailang-codegen/src/lib.rs:1213-1259` (`emit_fn` extension for `alwaysinline`)
- Modify: `crates/ailang-codegen/src/lib.rs:2691-2806` (`try_emit_primitive_instance_body` 9 new arms)

This task is purely additive: new intercept arms for `eq__Int` / `eq__Bool` / `eq__Unit` / `float_eq` / `float_ne` / `float_lt` / `float_le` / `float_gt` / `float_ge`. Existing prelude `eq__Int` body is today `(app == x y)` — once the intercept matches `eq__Int`, it overrides this body with a direct `icmp eq i64`, producing the same end result via a different path. `alwaysinline` attribute attaches to the generated `define` line for every fn whose name matches the alwaysinline-allowlist.

- [ ] **Step 1: Read `emit_fn` to locate the exact `define` line**

Run: `sed -n '1180,1260p' crates/ailang-codegen/src/lib.rs`
Expected: the function definition includes the line that builds the `define <ret> @<mangled_name>(<params>) {` header. Identify the exact line (likely a `format!` or `push_str` call building this string) — the alwaysinline attribute is appended to it.

- [ ] **Step 2: Add the alwaysinline-allowlist helper**

In `crates/ailang-codegen/src/lib.rs`, add this fn near `emit_fn` (e.g. directly above it):

```rust
/// Returns `true` when the codegen should emit the LLVM
/// `alwaysinline` attribute on this fn's `define` line. The
/// allowlist is the set of primitive-instance bodies emitted by
/// `try_emit_primitive_instance_body` whose IR is so trivial
/// (one `icmp` / `fcmp` / `call` plus a `ret`) that `-O0` build
/// paths pay an unacceptable per-call overhead without inlining,
/// while `-O2` would inline these unconditionally anyway. The
/// list mirrors the intercept arm set in
/// `try_emit_primitive_instance_body` for the equality /
/// ordering / Float-comparison primitives.
fn intercept_emit_wants_alwaysinline(symbol: &str) -> bool {
    matches!(
        symbol,
        "eq__Int" | "eq__Bool" | "eq__Str" | "eq__Unit"
            | "compare__Int" | "compare__Bool" | "compare__Str"
            | "float_eq" | "float_ne"
            | "float_lt" | "float_le"
            | "float_gt" | "float_ge"
    )
}
```

- [ ] **Step 3: Inject `alwaysinline` into the `define` header**

In `emit_fn` (around line 1213-1259), at the point where the `define <ret> @<mangled_name>(<params>) {` line is built, append ` alwaysinline` between the `)` and the `{` when `intercept_emit_wants_alwaysinline(<symbol>)` is true. The exact patch depends on whether the header is built as a single `format!` or as multiple `push_str` calls; example for the `format!`-style:

```rust
// Before
self.body.push_str(&format!(
    "define {ret} @{name}({params}) {{\n"
));

// After
let attrs = if intercept_emit_wants_alwaysinline(unmangled_symbol) {
    " alwaysinline"
} else {
    ""
};
self.body.push_str(&format!(
    "define {ret} @{name}({params}){attrs} {{\n"
));
```

The exact unmangled symbol name reachable at this site is the planner-recon-unknown — read the surrounding `emit_fn` code to identify it (likely a `def.name` or `fn_def.name` field already in scope; if not, the symbol is reachable from the `match instance_key` arm in `try_emit_primitive_instance_body` and the attribute should attach there instead).

- [ ] **Step 4: Add the 9 new intercept arms to `try_emit_primitive_instance_body`**

In `crates/ailang-codegen/src/lib.rs:2691-2806`, locate the `match instance_key` (or equivalent) inside `try_emit_primitive_instance_body`. Today it has arms for `eq__Str`, `compare__Int`, `compare__Bool`, `compare__Str`. Add:

```rust
"eq__Int" => {
    // Eq Int. Lowers to `icmp eq i64`. The `alwaysinline`
    // attribute on the fn header (see `emit_fn`) collapses the
    // call to a single icmp at every use site under `-O0`.
    body.push_str("  %r = icmp eq i64 %0, %1\n");
    body.push_str("  ret i1 %r\n");
    Some(body)
}
"eq__Bool" => {
    body.push_str("  %r = icmp eq i1 %0, %1\n");
    body.push_str("  ret i1 %r\n");
    Some(body)
}
"eq__Unit" => {
    // Unit is single-inhabitant; all Units compare equal.
    // Params are typed as Unit (zero-width) but the fn signature
    // still carries them; we discard the operands and return true.
    body.push_str("  ret i1 1\n");
    Some(body)
}
"float_eq" => {
    body.push_str("  %r = fcmp oeq double %0, %1\n");
    body.push_str("  ret i1 %r\n");
    Some(body)
}
"float_ne" => {
    // `fcmp une` ("unordered or not-equal") not `one`, mirroring
    // float-semantics.md's `!=` guarantee — NaN != NaN must be true.
    body.push_str("  %r = fcmp une double %0, %1\n");
    body.push_str("  ret i1 %r\n");
    Some(body)
}
"float_lt" => {
    body.push_str("  %r = fcmp olt double %0, %1\n");
    body.push_str("  ret i1 %r\n");
    Some(body)
}
"float_le" => {
    body.push_str("  %r = fcmp ole double %0, %1\n");
    body.push_str("  ret i1 %r\n");
    Some(body)
}
"float_gt" => {
    body.push_str("  %r = fcmp ogt double %0, %1\n");
    body.push_str("  ret i1 %r\n");
    Some(body)
}
"float_ge" => {
    body.push_str("  %r = fcmp oge double %0, %1\n");
    body.push_str("  ret i1 %r\n");
    Some(body)
}
```

The exact identifier names (`body`, `instance_key`, `params`) match the surrounding match-arm pattern — read 2691-2806 first to confirm. The Unit body assumes the LLVM type for Unit is a zero-width or untouched single-bit; if the fn signature requires `%0`/`%1` operands of a specific Unit type, adjust accordingly (recon-confirmed shape).

- [ ] **Step 5: Build the workspace; expect 0 errors**

Run: `cargo build --workspace --tests 2>&1 | tail -5`
Expected: `Finished …`. No errors. The new arms are pure-additive; the alwaysinline emission is conditioned on the allowlist (today, fns matching the existing arms `eq__Str`/`compare__Int`/etc.).

- [ ] **Step 6: Run the alwaysinline IR pin; expect it to FLIP to GREEN**

Run: `cargo test --workspace --quiet prelude_eq_int_carries_alwaysinline_attribute_in_emitted_ir 2>&1 | tail -5`
Expected: PASS. The `eq_demo.ail` fixture contains `(app == 5 5)` which today lowers via `lower_eq` (direct emit, no fn-call); after Task 2, no, wait — the prelude `eq__Int` body is still `(app == x y)` today, so `eq` calls dispatch via class to prelude.eq__Int, which the new intercept arm overrides. The emitted IR for `@ail_prelude_eq__Int` carries the alwaysinline attribute. `eq_demo.ail` calls `(app == 5 5)` directly (not `(app eq 5 5)`), so the IR-pin's substring check on `define … eq__Int … alwaysinline` is reached via the prelude's eq__Int symbol being EMITTED into the IR alongside main. If the IR doesn't reach for prelude.eq__Int at all (because eq_demo only uses ==), change the fixture in step 1 of the pin to instead invoke `(app eq …)` — adjust the test fixture path to a fixture that DOES call `eq`. Suggestion: use `examples/eq_ord_user_adt.ail` which calls `(app eq …)` on IntBox (which calls eq on Int internally).

If the test does not turn GREEN at this gate, investigate: either the allowlist is mis-keyed (compare `intercept_emit_wants_alwaysinline`'s match arm names to the actual `instance_key` strings inside `try_emit_primitive_instance_body`), or the attribute injection site in `emit_fn` is bypassed for the codegen path used by intercept-emitted bodies.

- [ ] **Step 7: Run the full workspace test suite; expect existing tests still green**

Run: `cargo test --workspace --quiet 2>&1 | tail -10`
Expected: same `0 failed` shape as before Task 2 plus `prelude_eq_int_carries_alwaysinline_attribute_in_emitted_ir` flipping to PASS. Per-suite pass counts in the per-suite summary lines must match `git stash`-prior counts (re-derive on failure). The other 4 RED tests stay RED.

If any existing test breaks: the most likely cause is the alwaysinline allowlist matching too broadly (i.e. attaching the attribute to a fn that LLVM refuses to inline for other reasons — e.g. external linkage). Narrow the allowlist to the exact mono-symbol names in the intercept arms and re-run.

---

## Task 3: Prelude reshape — Eq Unit, six float_* fns, placeholder bodies, hash re-pin

**Files:**
- Modify: `examples/prelude.ail` (multiple sites: line 9 comment drop, lines 12-29 body placeholders, insert Eq Unit, insert six float_* fns)
- Modify: `crates/ailang-surface/tests/prelude_module_hash_pin.rs:16` (hash literal re-pin)
- Modify: `crates/ail/tests/mono_hash_stability.rs:50-55` (six body-hash pins re-pin)

- [ ] **Step 1: Drop the "P2 follow-up" comment on `class Eq`**

Edit `examples/prelude.ail:9` — the line currently reads:

```
    (doc "Structural equality. Ships in milestone 23 alongside Ord. The primitive `==` operator stays as the surface-level comparator this iter; routing `==` through `Eq.eq` is the declared P2 follow-up (see docs/specs/2026-05-10-23-eq-ord-prelude.md, `Out of scope`).")
```

Replace with:

```
    (doc "Structural equality. The class-method `eq` is the surface-level comparator; `==` as a surface name is not part of the language. Primitive instances Eq Int / Bool / Str / Unit are lowered via try_emit_primitive_instance_body in the codegen.")
```

- [ ] **Step 2: Rewrite Eq Int / Eq Bool instance bodies to placeholder shape**

Edit `examples/prelude.ail:12-23` — the Eq Int and Eq Bool instances currently have bodies `(app == x y)`. Replace both bodies with placeholder shape mirroring the existing Ord Int's:

```
  (instance
    (class prelude.Eq)
    (type (con Int))
    (doc "Eq Int. Body is placeholder for round-trip stability; codegen intercept try_emit_primitive_instance_body::eq__Int emits `icmp eq i64` with the alwaysinline attribute.")
    (method eq
      (body (lam (params (typed x a) (typed y a)) (ret (con Bool)) (body false)))))
  (instance
    (class prelude.Eq)
    (type (con Bool))
    (doc "Eq Bool. Body is placeholder for round-trip stability; codegen intercept try_emit_primitive_instance_body::eq__Bool emits `icmp eq i1` with the alwaysinline attribute.")
    (method eq
      (body (lam (params (typed x a) (typed y a)) (ret (con Bool)) (body false)))))
```

Eq Str's body stays unchanged in shape (it's already placeholder-style with the intercept handling it).

- [ ] **Step 3: Insert Eq Unit instance**

Edit `examples/prelude.ail`, immediately after the Eq Str instance (before `(class Ord …)`), insert:

```
  (instance
    (class prelude.Eq)
    (type (con Unit))
    (doc "Eq Unit. Unit is single-inhabitant so all values compare equal. Body is placeholder; codegen intercept try_emit_primitive_instance_body::eq__Unit emits `ret i1 1`.")
    (method eq
      (body (lam (params (typed x a) (typed y a)) (ret (con Bool)) (body true)))))
```

- [ ] **Step 4: Insert six float_* free fns**

Edit `examples/prelude.ail`, immediately after the `(fn print …)` block (before the final closing paren of the module), insert:

```
  (fn float_eq
    (doc "IEEE Float equality. `float_eq x y` returns true iff both operands are non-NaN and bit-equal. Lowered to `fcmp oeq double` via try_emit_primitive_instance_body::float_eq with alwaysinline. Replaces the milestone-deleted polymorphic `==` on Float.")
    (type (fn-type (params (con Float) (con Float)) (ret (con Bool))))
    (params x y)
    (body false))
  (fn float_ne
    (doc "IEEE Float disequality. `float_ne nan nan` returns true (unordered-or-not-equal per IEEE-754). Lowered to `fcmp une double`.")
    (type (fn-type (params (con Float) (con Float)) (ret (con Bool))))
    (params x y)
    (body false))
  (fn float_lt
    (doc "IEEE Float strict less-than. `float_lt nan x` returns false for any x (unordered). Lowered to `fcmp olt double`.")
    (type (fn-type (params (con Float) (con Float)) (ret (con Bool))))
    (params x y)
    (body false))
  (fn float_le
    (doc "IEEE Float less-than-or-equal. Lowered to `fcmp ole double`.")
    (type (fn-type (params (con Float) (con Float)) (ret (con Bool))))
    (params x y)
    (body false))
  (fn float_gt
    (doc "IEEE Float strict greater-than. Lowered to `fcmp ogt double`.")
    (type (fn-type (params (con Float) (con Float)) (ret (con Bool))))
    (params x y)
    (body false))
  (fn float_ge
    (doc "IEEE Float greater-than-or-equal. Lowered to `fcmp oge double`.")
    (type (fn-type (params (con Float) (con Float)) (ret (con Bool))))
    (params x y)
    (body false))
```

(Body `false` is placeholder; the codegen intercept overrides each with the corresponding `fcmp`.)

- [ ] **Step 5: Re-pin the prelude module hash**

Run: `cargo test --workspace --quiet -p ailang-surface --test prelude_module_hash_pin prelude_parse_yields_canonical_hash 2>&1 | tail -10`
Expected: FAIL with a message of the form `prelude module hash drifted: expected 3abe0d3fa3c11c99, got <NEW_HASH>`. Capture `<NEW_HASH>`.

Edit `crates/ailang-surface/tests/prelude_module_hash_pin.rs:16` — replace the existing literal `"3abe0d3fa3c11c99"` with `<NEW_HASH>`. Update any accompanying comment naming the prior value to add the operator-routing-eq-ord re-pin context (e.g. `// 2026-05-20 operator-routing-eq-ord re-pinned (prior: 3abe0d3fa3c11c99): Eq Int/Bool body shape flips to placeholder, Eq Unit added, six float_* fns added, line-9 comment rewritten.`).

Re-run the pin: `cargo test --workspace --quiet -p ailang-surface --test prelude_module_hash_pin 2>&1 | tail -5`
Expected: PASS.

- [ ] **Step 6: Re-pin the six body-hash literals in `mono_hash_stability.rs`**

Run: `cargo test --workspace --quiet --test mono_hash_stability 2>&1 | tail -20`
Expected: 6 assertion failures of the form `eq__Int body hash drifted — see mono_hash_stability.rs for the resolution pattern; captured: <NEW_HASH_X>`. Capture each.

Edit `crates/ail/tests/mono_hash_stability.rs:50-55` (and surrounding context) — replace each of the six hash literals (`eq__Int`, `eq__Bool`, `eq__Str`, `compare__Int`, `compare__Bool`, `compare__Str`) with their captured values. Add a comment band noting the operator-routing-eq-ord re-pin reason: bodies become placeholder per prelude reshape.

Re-run: `cargo test --workspace --quiet --test mono_hash_stability 2>&1 | tail -5`
Expected: PASS.

- [ ] **Step 7: Run the full workspace test suite**

Run: `cargo test --workspace --quiet 2>&1 | tail -10`
Expected: `0 failed` summary in the run-level line. The 4 still-RED tests from Task 1 stay RED; `prelude_eq_int_carries_alwaysinline_attribute_in_emitted_ir` from Task 2 stays GREEN. All other tests stay GREEN. If any existing test fails: the codegen intercept arms emit a different IR shape than the existing dispatch produces for the same call — investigate.

---

## Task 4: Fixture migration — 60 .ail files + lockstep eq_ord_e2e body-hash re-pin

**Files:**
- Modify: ~60 `.ail` files under `examples/` (enumerate via grep)
- Modify: `examples/eq_ord_user_adt.ail:21` (`(app == ai bi)` → `(app eq ai bi)`)
- Modify: `crates/ail/tests/eq_ord_e2e.rs:134` (body-hash re-pin)
- Modify: `examples/eq_demo.ail:1-23` (doc-comment header rewrites)
- Modify: `crates/ail/tests/e2e.rs:1351-1360` (doc-comment of `eq_demo` test)

- [ ] **Step 1: Enumerate the full fixture set**

Run: `grep -rln '(app == \|(app != \|(app < \|(app <= \|(app > \|(app >=' examples/ | sort`
Expected: ~60 file paths. Save the list as the working set.

- [ ] **Step 2: Per-file migration (manual substitution per file)**

For each file in the list:

```
(app == x y)   →  (app eq x y)
(app != x y)   →  (app ne x y)
(app < x y)    →  (app lt x y)
(app <= x y)   →  (app le x y)
(app > x y)    →  (app gt x y)
(app >= x y)   →  (app ge x y)
```

For Float-operand call sites (operand typed Float — recon-noted candidates: `bench_compute_collatz.ail`, `mut_sum_floats.ail`, `floats_1_newton_sqrt.ail`, `floats_3_safe_division.ail`; verify each via inspecting the operand types in the fixture), use the `float_*` variants instead:

```
(app == x y)  where x,y : Float  →  (app float_eq x y)
(app != x y)  where x,y : Float  →  (app float_ne x y)
... etc.
```

The bulk-substitution is NOT a regex-replace because Float operands need the `float_*` form, not `eq`/`ne`/etc. Each fixture is touched once per call site; visually inspect the operand types around each call before substituting.

- [ ] **Step 3: Migrate the user-ADT body in `eq_ord_user_adt.ail`**

Edit `examples/eq_ord_user_adt.ail:21`:

```
; Before:
        (case (pat-ctor MkIntBox ai) (match b
          (case (pat-ctor MkIntBox bi) (app == ai bi))))))))))

; After:
        (case (pat-ctor MkIntBox ai) (match b
          (case (pat-ctor MkIntBox bi) (app eq ai bi))))))))))
```

This shifts the user-instance body-hash, requiring the eq_ord_e2e re-pin in step 5.

- [ ] **Step 4: Rewrite `eq_demo.ail` doc-comment**

Edit `examples/eq_demo.ail:1-23` — the current 23-line doc-comment describes the polymorphic-`==` story (iter 16e). Rewrite the doc-comment to describe the class-dispatch story: `eq` dispatches via `prelude.Eq.eq`'s primitive instances for Int / Bool / Str / Unit; `compare` dispatches via `prelude.Ord.compare` for Int / Bool / Str. Strip references to `lower_eq`, `polymorphic ==`, `16e`. Keep the expected-stdout block at the end.

- [ ] **Step 5: Rewrite the `eq_demo` test doc-comment in `e2e.rs`**

Edit `crates/ail/tests/e2e.rs:1351-1360` — rewrite the doc-comment to match the new fixture story. The test body is unchanged (stdout pin is identical).

- [ ] **Step 6: Re-pin the eq__IntBox body hash**

Run: `cargo test --workspace --quiet --test eq_ord_e2e eq_ord_user_adt_eq_intbox_hash_stable 2>&1 | tail -10`
Expected: FAIL with `eq__IntBox body hash drifted — ...; captured: <NEW_HASH>`. Capture `<NEW_HASH>`.

Edit `crates/ail/tests/eq_ord_e2e.rs:134` — replace `"3c4cf040cb4e8bb2"` with `<NEW_HASH>`. Add comment context: `// 2026-05-20 operator-routing-eq-ord re-pinned (prior: 3c4cf040cb4e8bb2): user-instance body's inner == migrates to eq.`

Re-run: `cargo test --workspace --quiet --test eq_ord_e2e 2>&1 | tail -5`
Expected: PASS.

- [ ] **Step 7: Verify zero remaining operator-form occurrences**

Run: `grep -rln '(app == \|(app != \|(app < \|(app <= \|(app > \|(app >=' examples/ | wc -l`
Expected: `0`. If non-zero, identify the missed files and re-run step 2 on each.

- [ ] **Step 8: Run the workspace test suite; expect `0 failed`**

Run: `cargo test --workspace --quiet 2>&1 | tail -10`
Expected: `0 failed` across all binaries. The four remaining RED tests from Task 1 stay RED (Unit-eq path / Float-fn path / unknown-`==` / alwaysinline are state from earlier tasks). All other tests stay GREEN — every fixture's `(app eq …)` / `(app lt …)` / etc. now dispatches via the class layer that has been working since well before this milestone.

---

## Task 5: Test-scaffold migration — all 8 in-source `#[cfg(test)]` AST-literal sites

**Files:**
- Modify: `crates/ailang-check/src/lib.rs:5656` (`>=` → `ge`)
- Modify: `crates/ailang-check/src/lib.rs:6088-6092` (`eq_app` helper + caller)
- Modify: `crates/ailang-check/src/lib.rs:6216-6220` (second `==` literal site)
- Modify: `crates/ailang-check/src/builtins.rs:413-432` (`<` smoke tests at lines 416, 428 — recon-noted)
- Modify: `crates/ailang-core/src/desugar.rs:2414`
- Modify: `crates/ailang-codegen/src/lib.rs:3371` (in-source `mod tests` `==` literal)
- Modify: `crates/ailang-codegen/src/lib.rs:3419` (in-source `mod tests` `==` literal)
- Modify: `crates/ailang-codegen/src/lib.rs:3729-3734` (`cmp("==", …)` Float-arith tests)
- Modify: `crates/ailang-codegen/src/lib.rs:4354` (in-source `mod tests` `==` literal)

- [ ] **Step 1: Migrate `crates/ailang-check/src/lib.rs:5656`**

Locate `Term::Var { name: ">=".into() }` at line 5656; replace `">="` with `"ge"`. The surrounding test is in `#[cfg(test)] mod tests` so the migration changes the test's AST-literal-construction without changing what it tests semantically (post-milestone, `ge` resolves via class-dispatch the way `>=` does today).

- [ ] **Step 2: Migrate `crates/ailang-check/src/lib.rs:6088-6092` `eq_app` helper**

Locate the `eq_app` fn helper at line ~6088 and its callers; replace `Term::Var { name: "==".into() }` with `name: "eq".into()` at line 6092.

- [ ] **Step 3: Migrate `crates/ailang-check/src/lib.rs:6220`**

Locate the second AST-literal site at line 6220; replace `name: "==".into()` with `name: "eq".into()`.

- [ ] **Step 4: Migrate `crates/ailang-check/src/builtins.rs:413-432` `<` smoke tests**

Locate the in-source `mod tests` at lines 413-432 using `app("<", …)`. Per recon, these are `<`-builtin smoke tests against `synth_in_builtins_env`. After Task 7 deletes `<` from the builtin table, these tests fail at typecheck because `<` is no longer a known identifier.

Two options:
(a) Migrate `app("<", …)` to `app("lt", …)` — tests then exercise the class-dispatch path for `lt` (which is itself the spec-intended behaviour for the new surface).
(b) Delete the tests as redundant with class-dispatch coverage from `eq_ord_e2e`.

Choose (a) for continuity (more pin coverage). Apply: replace each `app("<", …)` with `app("lt", …)`. Doc-comments referencing `<` in the test body update alongside.

- [ ] **Step 5: Migrate `crates/ailang-core/src/desugar.rs:2414`**

Locate the AST-literal site at line 2414 inside `#[cfg(test)] mod tests` (mod-block starts at line 1604). The literal is `Term::Var { name: "==".into() }`. Replace `"=="` with `"eq"`. The surrounding test constructs an AST sample; semantic outcome of the test is unaffected — it pins a desugar-result shape downstream of where `==`/`eq` is purely a symbol name.

- [ ] **Step 6: Migrate `crates/ailang-codegen/src/lib.rs:3371, :3419, :4354`**

Locate each of the three in-source `mod tests` AST-literal sites. Per recon, these tests pin `lower_eq`-rejection-error wording for ADT/Fn types being passed to `==`. After Task 7 deletes `lower_eq` and `==` from the builtin table, there is no `lower_eq`-rejection path to test.

Two options:
(a) Migrate the test fixtures to use `eq` and update assertions to assert the new `NoInstance Eq <ADT>` typecheck-time diagnostic (which fires earlier and replaces the codegen rejection).
(b) Delete the three tests as obsolete — the rejection mechanism the tests pinned is gone by structure.

Choose (b) — delete the three tests as obsolete. Rationale: the user-ADT `NoInstance` diagnostic is already pinned via `eq_ord_e2e`'s negative case (no instance → fail at typecheck), so deletion does not lose coverage. Add a one-line `// removed YYYY-MM-DD per operator-routing-eq-ord: lower_eq deletion makes this rejection path unreachable; coverage moves to NoInstance at typecheck` comment at each deletion site (commit-body documentation only — these are deletions in test code, no live-narrative impact).

- [ ] **Step 7: Migrate `crates/ailang-codegen/src/lib.rs:3729-3734`**

Locate the `cmp("==", …)` and `cmp("<", …)` calls in the Float-arith smoke tests at lines 3729-3734. These tests pin the synth `builtin_binop_typed` table arms for Float comparators. After Task 8 deletes those arms, the tests fail.

Migrate to the new symbol-name surface: replace `cmp("==", …)` with `app("float_eq", …)` and `cmp("<", …)` with `app("float_lt", …)`. The test's helper fn `cmp` may need to be renamed or adjusted depending on its signature; if the helper hard-codes Int/Float dispatch, replace its call with a direct `app(…)` builder. Adjust the assertion to expect the IR shape produced by the `try_emit_primitive_instance_body::float_eq`/`float_lt` intercept (i.e., the `fcmp oeq double` / `fcmp olt double` lines remain, but emerge from a generated `@ail_prelude_float_eq` / `@ail_prelude_float_lt` body, not from a direct-emit `==`/`<` path).

If migration is intractable for these specific tests (i.e. the test fundamentally pins direct-emit IR shape that no longer exists), delete the two tests and add the same one-line comment as step 6.

- [ ] **Step 8: Build + run full workspace**

Run: `cargo test --workspace --quiet 2>&1 | tail -10`
Expected: `0 failed`. All migrated in-source tests pass under their new class-dispatch semantics (or are deleted). The 4 still-RED tests from Task 1 stay RED.

---

## Task 6: Lit-pattern desugar — `build_eq` substitutes `eq` for `==`

**Files:**
- Modify: `crates/ailang-core/src/desugar.rs:1099` (`build_eq` fn)

- [ ] **Step 1: Patch the `==` symbol in `build_eq`**

In `crates/ailang-core/src/desugar.rs`, locate `build_eq` at line 1099. Find line 1109 reading:

```rust
                name: "==".to_string(),
```

Replace with:

```rust
                name: "eq".to_string(),
```

- [ ] **Step 2: Update the doc-comment on `build_eq`**

The doc-comment at lines ~1095-1099 currently describes the function as emitting `==`. Rewrite to:

```rust
/// Builds the equality-test AST node for a literal pattern. Lowers
/// `(pat-lit <lit>)` to `(if (eq sv <lit>) <body> <fall_k>)`. The
/// emitted `eq` resolves via prelude.Eq's class-method dispatch
/// (per design/contracts/0016-method-dispatch.md) — Int/Bool/Str/Unit
/// patterns all route through the corresponding primitive
/// instance.
///
/// Float-Literal patterns are hard-rejected at typecheck
/// (`CheckError::FloatPatternNotAllowed`, per
/// design/contracts/0005-float-semantics.md) before this fn is reached,
/// so the `eq`-dispatch never encounters Float.
fn build_eq(scrutinee: Term, lit: &Literal) -> Term {
```

- [ ] **Step 3: Run lit-pattern tests; expect 0 failures**

Run: `cargo test --workspace --quiet --test e2e lit_pat_demo 2>&1 | tail -10`
Expected: PASS. The `lit_pat_demo` fixture's `(case (pat-lit "hi") …)` arms now desugar to `(if (eq sv "hi") …)`, which dispatches via `prelude.Eq.eq` for Str — same end result, different path. The fixture's stdout pin is identical.

- [ ] **Step 4: Run the full workspace suite**

Run: `cargo test --workspace --quiet 2>&1 | tail -10`
Expected: `0 failed`. Lit-pattern desugar's substitution is purely a symbol rename; downstream typecheck and codegen handle the new symbol identically to the old.

---

## Task 7: Delete dead operator machinery

After Tasks 1-6 land, no live code path references `==` / `!=` / `<` / `<=` / `>` / `>=` as a value-level identifier — fixtures migrated (Task 4), test scaffolds migrated (Task 5), lit-pattern desugar emits `eq` (Task 6). The builtin-table entries, the codegen lowering paths, and the in-source ADT-rejection tests are dead code. This task deletes all of them in one cohesive sweep.

**Files:**
- Modify: `crates/ailang-check/src/builtins.rs:96-98` (delete comparator install loop)
- Modify: `crates/ailang-check/src/builtins.rs:100-125` (delete `==` polymorphic Forall + comment band)
- Modify: `crates/ailang-check/src/builtins.rs:303-308` (delete list-side mirror rows)
- Modify: `crates/ailang-codegen/src/synth.rs:263-276` (delete 10 comparator arms in `builtin_binop_typed`)
- Modify: `crates/ailang-codegen/src/synth.rs:268-271` (comment-band rewrite — drop pre-iter-4 historical reference, frame as arithmetic-only table)
- Modify: `crates/ailang-codegen/src/lib.rs:68-73` (`is_arithmetic_or_comparison_op` → `is_arithmetic_op`; comment update at 60-67)
- Modify: `crates/ailang-codegen/src/lib.rs:2133` (delete `if name == "=="` short-circuit in `lower_app`)
- Modify: `crates/ailang-codegen/src/lib.rs:2529` (delete `name == "=="` clause in `is_static_callee`)
- Modify: `crates/ailang-codegen/src/lib.rs:2879-2964` (delete `lower_eq` whole fn)

- [ ] **Step 1: Delete typchecker builtin entries**

In `crates/ailang-check/src/builtins.rs`:

Lines 96-98 currently read:
```rust
    for op in ["!=", "<", "<=", ">", ">="] {
        env.globals.insert(op.into(), poly_a_a_to_bool());
    }
```
Delete these three lines.

Lines 100-125 currently read (the `==` Forall block plus 7-line comment band):
```rust
    // `==` is polymorphic — `forall a. (a, a) -> Bool`. Codegen
    // dispatches on the resolved arg type at the call site:
    // `Int` → `icmp eq i64`, `Bool` → `icmp eq i1`, `Str` → `@strcmp`,
    // `Unit` → constant `i1 1`, `Float` → `fcmp oeq double`. ADT/Fn
    // equality is rejected at codegen with a clear "== not supported
    // for type X" error. The ordering ops (`<`, `<=`, `>`, `>=`, `!=`)
    // share the same polymorphic shape but with `Bool` return; `==`
    // stays in its own arm only because the codegen-side dispatch
    // table has historically been per-op.
    env.globals.insert(
        "==".into(),
        Type::Forall {
            vars: vec!["a".into()],
            constraints: vec![],
            body: Box::new(Type::Fn {
                params: vec![
                    Type::Var { name: "a".into() },
                    Type::Var { name: "a".into() },
                ],
                ret: Box::new(Type::bool_()),
                effects: vec![],
                param_modes: vec![],
                ret_mode: ailang_core::ast::ParamMode::Implicit,
            }),
        },
    );
```
Delete all 26 lines (the comment band + the `env.globals.insert("==", …)` block).

Lines 303-308 (inside `pub fn list()`) currently read:
```rust
        ("==", "forall a. (a, a) -> Bool"),
        ("!=", "forall a. (a, a) -> Bool"),
        ("<", "forall a. (a, a) -> Bool"),
        ("<=", "forall a. (a, a) -> Bool"),
        (">", "forall a. (a, a) -> Bool"),
        (">=", "forall a. (a, a) -> Bool"),
```
Delete all six rows.

- [ ] **Step 2: Delete codegen builtin_binop_typed comparator arms**

In `crates/ailang-codegen/src/synth.rs:263-276`, delete the 10 comparator arms (5 Int + 5 Float). The arithmetic arms at lines 251-259 remain.

In the same fn's preceding comment band (lines 260-272), rewrite the historical reference. Current text discusses the iter-4.2/4.3 split where Int comparators stayed and Float comparators were added; replace with:

```rust
// `builtin_binop_typed` is now arithmetic-only. Comparators
// (`==`/`!=`/`<`/`<=`/`>`/`>=`) were removed in iter
// operator-routing-eq-ord.1 — surface comparison routes through
// the prelude.Eq/Ord class-method dispatch, with primitive
// instance bodies emitted via try_emit_primitive_instance_body
// in lib.rs (Eq Int/Bool/Str/Unit → icmp; Ord Int/Bool/Str
// → icmp + ctor; float_eq/float_ne/float_lt/le/gt/ge → fcmp).
```

- [ ] **Step 3: Update `is_arithmetic_or_comparison_op`**

In `crates/ailang-codegen/src/lib.rs:68-73`, the fn currently includes `==` / `!=` / `<` / `<=` / `>` / `>=` in its match. After deletion of the comparator arms, rename the fn to `is_arithmetic_op` and reduce its match to `+` / `-` / `*` / `/` / `%`. Update the doc-comment at lines 60-67 alongside (drop the comparator-related sentences).

Find all callers of `is_arithmetic_or_comparison_op` via `git grep -n 'is_arithmetic_or_comparison_op' crates/`. Update each call site to the new name.

- [ ] **Step 4: Delete `==` short-circuit in `lower_app`**

In `crates/ailang-codegen/src/lib.rs:2126-2144`, locate the `if name == "=="` short-circuit (the recon-noted line at 2133). Delete the entire `if`-block (and its body — the recon hint is "lines 2126-2144").

After deletion, `lower_app` falls through to the standard fn-call path for any `name`; since `==` is no longer a known identifier (deleted from builtins), the typechecker rejects `(app == …)` at an earlier stage, so this branch can never be reached.

- [ ] **Step 5: Delete `name == "=="` clause in `is_static_callee`**

In `crates/ailang-codegen/src/lib.rs:2529`, the predicate currently lists `name == "=="` as one of the static-callee patterns. Delete that clause.

- [ ] **Step 6: Delete `lower_eq` whole fn**

In `crates/ailang-codegen/src/lib.rs:2879-2964`, delete the entire `lower_eq` fn (signature + body). Also delete its doc-comment (the preceding `///` lines).

Find any leftover callers (should be none after step 4):
```
git grep -n 'lower_eq\b' crates/
```
Expected: 0 hits (the only caller was the `==` short-circuit in `lower_app`, deleted in step 4). If any remain, delete them.

- [ ] **Step 7: Build the workspace; expect 0 errors**

Run: `cargo build --workspace --tests 2>&1 | tail -10`
Expected: `Finished …` (0 errors). Compile-gate ratifies: nothing in the production tree calls `lower_eq`, references the deleted builtin-globals entries, or references the deleted `builtin_binop_typed` comparator arms. The deletions are fully internally coherent.

If `error[E0061]` or `error[E0425]` (`cannot find function`) appears: a caller was missed in steps 4-6 — `git grep` the missing symbol and update.

- [ ] **Step 8: Run the full workspace test suite**

Run: `cargo test --workspace --quiet 2>&1 | tail -10`
Expected: `0 failed`. After deletion, the `operator_names_unbound_pin` test flips to GREEN — `(app == 5 5)` typechecks to `unknown variable: ==`. The four other Task-1 tests:
- `eq_user_adt_smoke_e2e` — depends on Eq Unit instance (added Task 3); should now GREEN (the inner `(app eq a1 a2)` on Int still works via class-dispatch with Task 2's intercept)
- `float_compare_smoke_e2e` — depends on float_* fns (added Task 3); should now GREEN
- `eq_float_must_fail_pin` — still RED (diagnostic does not yet mention `float_eq` — Task 8 handles)
- `prelude_eq_int_carries_alwaysinline_attribute_in_emitted_ir` — stays GREEN (was Task 2)

If `eq_user_adt_smoke_e2e` or `float_compare_smoke_e2e` is still RED: the class-dispatch path for `eq__Unit` or `float_eq` isn't reaching the intercept. Investigate the mono-symbol naming convention (do mono-pass-emitted user instances really resolve to `prelude.eq__Unit` / `prelude.float_eq` as the intercept arms key on?).

---

## Task 8: Float-aware NoInstance addendum — name `float_eq` / `float_lt` as the alternative

**Files:**
- Modify: `crates/ailang-check/src/lib.rs:856-880` (extend Float-aware diagnostic)
- Modify: `crates/ail/tests/eq_float_noinstance.rs:32-44` (extend assertion to require `float_eq` substring)

- [ ] **Step 1: Extend the Float-aware diagnostic wording**

In `crates/ailang-check/src/lib.rs:856-880`, the existing addendum reads (around line 868-872):

```rust
            if (class == "prelude.Eq" || class == "prelude.Ord") && at_type == "Float" {
                d.message = format!(
                    "{} — Float has no Eq/Ord instance by design (partial \
                     orderability per IEEE-754); see design/contracts/0005-float-semantics.md.",
                    d.message
                );
            } else if class == "prelude.Show" {
```

Extend the wording to mention `float_eq` and `float_lt`:

```rust
            if (class == "prelude.Eq" || class == "prelude.Ord") && at_type == "Float" {
                d.message = format!(
                    "{} — Float has no Eq/Ord instance by design (partial \
                     orderability per IEEE-754); use float_eq / float_lt \
                     (and siblings) for explicit IEEE-aware comparison. \
                     See design/contracts/0005-float-semantics.md.",
                    d.message
                );
            } else if class == "prelude.Show" {
```

- [ ] **Step 2: Run `eq_float_must_fail_pin`; expect GREEN**

Run: `cargo test --workspace --quiet --test eq_float_must_fail_pin 2>&1 | tail -10`
Expected: PASS. The diagnostic now contains `float_eq` substring.

- [ ] **Step 3: Extend the existing `eq_float_noinstance.rs` assertion**

In `crates/ail/tests/eq_float_noinstance.rs:32-44`, the existing test asserts the diagnostic contains `Float` and the `float-semantics.md` doc reference. Extend the assertion to also require `float_eq`:

```rust
// Existing (around line 38-44):
assert!(
    stderr.contains("Float") && stderr.contains("design/contracts/0005-float-semantics.md"),
    "expected Float-aware addendum, got: {stderr}"
);

// Replace with:
assert!(
    stderr.contains("Float") && stderr.contains("design/contracts/0005-float-semantics.md") && stderr.contains("float_eq"),
    "expected Float-aware addendum with float_eq hint, got: {stderr}"
);
```

Run: `cargo test --workspace --quiet --test eq_float_noinstance 2>&1 | tail -5`
Expected: PASS.

- [ ] **Step 4: Run the full workspace test suite**

Run: `cargo test --workspace --quiet 2>&1 | tail -10`
Expected: `0 failed` summary line. All 5 RED-bootstrap tests from Task 1 are now GREEN.

---

## Task 9: IR snapshot regeneration

**Files:**
- Modify: `crates/ail/tests/snapshots/sum.ll`
- Modify: `crates/ail/tests/snapshots/max3.ll`

`sum.ail` uses `==` (lit-pattern desugar) and `max3.ail` uses `>` directly. After Tasks 4 and 6 land, the desugar emits `eq` and the source fixtures use `eq`/`gt` — the resulting IR shape shifts from direct `icmp` to a call into `@ail_prelude_eq__Int` (or `@ail_prelude_gt`) with the `alwaysinline` attribute. The checked-in snapshots no longer match; they regenerate.

- [ ] **Step 1: Regenerate snapshots via UPDATE_SNAPSHOTS=1**

Run: `UPDATE_SNAPSHOTS=1 cargo test --workspace --quiet -p ail --test ir_snapshot 2>&1 | tail -10`
Expected: regeneration completes; the 5 snapshot files (`hello.ll`, `list.ll`, `max3.ll`, `sum.ll`, `ws_main.ll`) are touched. Of these, `sum.ll` and `max3.ll` shift content meaningfully (they use comparison surface); `hello.ll`, `list.ll`, `ws_main.ll` are likely unchanged (they don't use comparisons) but the test framework may re-write them anyway — that's fine.

- [ ] **Step 2: Re-run the snapshot test without UPDATE_SNAPSHOTS**

Run: `cargo test --workspace --quiet -p ail --test ir_snapshot 2>&1 | tail -5`
Expected: PASS.

- [ ] **Step 3: Manual visual inspection**

Read `crates/ail/tests/snapshots/sum.ll` and `max3.ll`. Confirm the comparison IR shape is now:

```
  %r = call i1 @ail_prelude_eq__Int(i64 ..., i64 ...) ...
  ; or with alwaysinline attribute on the define for eq__Int:
  define i1 @ail_prelude_eq__Int(i64, i64) alwaysinline { ... }
```

And the `lower_eq` direct-emit path (`icmp eq i64` inline in `main`'s body) is GONE.

If the snapshot still contains an inline `icmp` from a direct-emit path: a callsite was missed in Task 7. Investigate.

---

## Task 10: Prose-projection cleanup — delete dead comparator binop_info arms

**Files:**
- Modify: `crates/ailang-prose/src/lib.rs:546-563` (delete 6 comparator arms in `binop_info`)
- Modify: `crates/ailang-prose/src/lib.rs:1952` (delete first comparator-infix test)
- Modify: `crates/ailang-prose/src/lib.rs:2020-2062` (delete second & third comparator-infix tests)

After the operator-name deletion, `Term::App { fn: Var "==" }` (et al.) can only appear in JSON state that bypasses typecheck (hand-crafted, error-path). Prose-render's `binop_info` table currently treats these as infix operators — but the language no longer recognises them as such, so prose-rendering them as infix is misleading. Falling through to the standard fn-call form is more honest.

- [ ] **Step 1: Delete the 6 comparator arms in `binop_info`**

In `crates/ailang-prose/src/lib.rs:546-563`, locate `fn binop_info` (or the equivalent table-keyed-on-operator-name structure). Delete the 6 arms for `==` / `!=` / `<` / `<=` / `>` / `>=`. The arithmetic arms (`+` / `-` / `*` / `/` / `%`) remain unchanged.

- [ ] **Step 2: Delete the 3 comparator-infix tests in `mod tests`**

Locate the in-source `#[cfg(test)] mod tests` at lines 1952 and 2020-2062. Identify the 3 tests that pin comparator-infix rendering — recon notes them at line 1952 and the 2020-2062 range. Delete each test fn (signature + body + the `#[test]` attribute line). Add a one-line `// removed YYYY-MM-DD per operator-routing-eq-ord: ==/!=/</<=/>/>= are no longer surface operators; their AST forms (if reachable via error paths) render via the standard fn-call shape, not infix.` comment at the deletion site of the first test.

- [ ] **Step 3: Run the prose-suite tests**

Run: `cargo test --workspace --quiet -p ailang-prose 2>&1 | tail -10`
Expected: `0 failed`. The arithmetic-infix tests stay GREEN. The deleted comparator-infix tests are gone (no replacement).

- [ ] **Step 4: Run the full workspace test suite**

Run: `cargo test --workspace --quiet 2>&1 | tail -10`
Expected: `0 failed`.

---

## Task 11: Contract updates — 5 design files

**Files:**
- Modify: `design/contracts/0005-float-semantics.md:10-31, :98-99`
- Modify: `design/contracts/0017-prelude-classes.md:5-13`
- Modify: `design/contracts/0011-str-abi.md:40-42`
- Modify: `design/contracts/0010-scope-boundaries.md:42-96` (operator-name mentions + Pattern::Lit-to-`==` clause)
- Modify: `design/models/0001-authoring-surface.md:58`

- [ ] **Step 1: Update `float-semantics.md`**

In `design/contracts/0005-float-semantics.md:10-14`, the bullet currently reads:

```markdown
- Every individual builtin (`+`/`-`/`*`/`/`/`neg`/`<`/`==`/...) lowers
  to a single LLVM IR instruction on the Float arm:
  `fadd/fsub/fmul/fdiv double`, `fneg double`, `fcmp olt/ole/ogt/oge
  double`, `fcmp oeq double`, `fcmp une double` (for `!=`). On a
  fixed `(target triple, LLVM version)` pair, the bit pattern of
  the result of any single op is reproducible.
```

Rewrite as:

```markdown
- Every individual arithmetic builtin (`+`/`-`/`*`/`/`/`neg`) lowers
  to a single LLVM IR instruction on the Float arm: `fadd/fsub/fmul/fdiv
  double`, `fneg double`. Float comparison goes through the named
  prelude fns `float_eq` / `float_ne` / `float_lt` / `float_le` /
  `float_gt` / `float_ge` (Float has no Eq/Ord instance — see
  [Prelude (built-in) classes](prelude-classes.md)); each fn lowers
  to a single `fcmp` instruction (`oeq` / `une` / `olt` / `ole` /
  `ogt` / `oge` respectively) via the codegen intercept with the
  `alwaysinline` attribute, so the call folds to one instruction
  at every use site. On a fixed `(target triple, LLVM version)`
  pair, the bit pattern of the result of any single op is
  reproducible.
```

Lines 22-31 — the present-tense `==`/`!=` paragraphs (NaN-`==`-returns-false; `!=` returns true on NaN) — rewrite to name `float_eq` / `float_ne` instead of the operators:

```markdown
- `float_eq` returns `false` whenever either operand is NaN
  (`fcmp oeq` is the ordered-equal predicate; ordered = both
  operands non-NaN).
- `float_ne` returns `true` whenever either operand is NaN
  (`fcmp une` is the unordered-or-not-equal predicate). This matches Rust
  `f64::ne` and IEEE-`!=` exactly.
```

Line 98-99 (NaN-rendering caveat) — strip the `==`/`<` mentions; reword the cross-reference to use the named-fn surface.

- [ ] **Step 2: Update `prelude-classes.md`**

In `design/contracts/0017-prelude-classes.md:5-13`, the current text describes Eq/Ord with primitive instances for Int/Bool/Str. Update:

- Extend the instance list with Eq Unit.
- Add a paragraph after the existing Eq/Ord/Show description naming the six `float_*` fns as the Float-comparison surface (each `Float -> Float -> Bool` without a class constraint; lowered to a single `fcmp` via codegen intercept; replaces the deleted polymorphic `==`/`<`/etc. operators on Float).
- The Float-no-Eq/Ord clause gains `→ use float_eq / float_lt for explicit IEEE-aware comparison` as a one-line cross-reference.

- [ ] **Step 3: Update `str-abi.md:40-42`**

In `design/contracts/0011-str-abi.md:40-42`, the current clause reads (paraphrase from recon): "`==`, `<`, `<=`, `>`, `>=` REMAIN primitive operators". Rewrite to describe the class-method dispatch path: equality on Str dispatches via `prelude.Eq.eq` (Str instance, lowered to `@ail_str_eq` via try_emit_primitive_instance_body::eq__Str); ordering on Str dispatches via `prelude.Ord.compare` (Str instance, lowered to `@ail_str_compare`).

- [ ] **Step 4: Update `scope-boundaries.md:42-96`**

Read `design/contracts/0010-scope-boundaries.md:42-96` in full. Per recon, multiple clauses describe the dying surface:
- "`==` is polymorphic"
- "`!=` for Float uses `fcmp UNE`"
- "`Pattern::Lit` to `Term::If` on `==`"
- "any literal kind whose `==` is supported"

For each:
- "`==` is polymorphic" → rewrite to "`eq` (class-method) dispatches via `prelude.Eq` per arg type"
- "`!=` for Float uses `fcmp UNE`" → rewrite to "`float_ne` lowers to `fcmp une`"
- "`Pattern::Lit` to `Term::If` on `==`" → rewrite to "`Pattern::Lit` desugars to `(if (eq sv lit) body fall_k)` via desugar::build_eq"
- "any literal kind whose `==` is supported" → rewrite to "any literal kind whose `eq` dispatch resolves to a known primitive instance (Int/Bool/Str/Unit; Float Patterns are hard-rejected per float-semantics.md)"

- [ ] **Step 5: Update `authoring-surface.md:58`**

In `design/models/0001-authoring-surface.md:58`, the current example lists `==`, `<=` among operators. Drop `==` and `<=` from the example; the operator list becomes arithmetic-only (`+`, `-`, `*`, `/`, `%`). Add a follow-up sentence: "Comparison and equality are class methods (`eq` / `compare`), not operators — see [Prelude classes](../contracts/0017-prelude-classes.md)."

- [ ] **Step 6: Verify honesty-rule pin still passes**

Run: `cargo test --workspace --quiet --test docs_honesty_pin 2>&1 | tail -10`
Expected: PASS. The honesty-pin scans for forward-intent / future-tense / aspirational language; the contract updates introduce no such language (all rewrites are present-tense and describe present behaviour).

If a new failure surfaces (e.g. a token like `polymorphic ==` is somehow flagged), fix the wording inline.

- [ ] **Step 7: Run the full workspace test suite**

Run: `cargo test --workspace --quiet 2>&1 | tail -10`
Expected: `0 failed`.

---

## Task 12: Acceptance gate — workspace + bench + spec criteria

**Files:**
- Read-only verification across the whole working tree.

- [ ] **Step 1: Full workspace test suite**

Run: `cargo test --workspace 2>&1 | tail -30`
Expected: every binary line ends `0 failed`. Total pass-count delta vs. the milestone start equals the 5 new tests added in Task 1, minus any test-scaffold deletions in Tasks 5/10. Capture the per-binary pass counts for the iter commit body.

- [ ] **Step 2: Bench corpus — throughput + latency**

Run: `bench/check.py 2>&1 | tail -20`
Expected: exit 0; `0 regressed` across all metrics. The expectation is the post-`alwaysinline` IR shape collapses primitive-eq calls to single icmp instructions under -O2 (deterministic), matching the pre-milestone direct-emit performance.

If regressed metrics > 0: the `alwaysinline` mitigation is not folding the call at the expected use site. Investigate:
1. Inspect the regressed workload's `--emit-ir --opt=O2` output; confirm the call is inlined (no `call @ail_prelude_eq__Int` remains).
2. If the call is inlined but performance is worse: there's a different codegen-shape change (e.g. extra `phi` node, missed dead-block elimination); deeper investigation.
3. If the call is NOT inlined: `alwaysinline` attribute is silently being stripped — investigate `emit_fn`'s attribute emission for that symbol.

- [ ] **Step 3: Bench corpus — compile**

Run: `bench/compile_check.py 2>&1 | tail -10`
Expected: exit 0; `0 regressed`.

- [ ] **Step 4: Bench corpus — cross-language**

Run: `bench/cross_lang.py 2>&1 | tail -10`
Expected: exit 0; `0 regressed`.

- [ ] **Step 5: Acceptance grep — no live `==` / `<` / etc. in deleted layers**

Run:
```
grep -rn '"=="\|"!="\|"<="\|">="\|"<"\|">"' crates/ailang-check/src/builtins.rs crates/ailang-codegen/src/synth.rs crates/ailang-codegen/src/lib.rs crates/ailang-core/src/desugar.rs 2>&1 | grep -v '^\s*//' | head -30
```
Expected: zero live (non-comment) hits in `env.globals.insert("==", …)`, `Type::Var { name: "==" }`, or `Some((..., "...))` table-entry shapes. Comment-only hits (historical references in commit-body documentation) are acceptable.

If live hits remain: a deletion site was missed in Task 7 — find and remove.

- [ ] **Step 6: Acceptance grep — no live operator-form in any fixture**

Run: `grep -rln '(app == \|(app != \|(app < \|(app <= \|(app > \|(app >=' examples/ | wc -l`
Expected: `0`.

- [ ] **Step 7: Prelude content check**

Run: `grep -E 'instance.*Eq.*Unit|fn float_eq|P2 follow-up' examples/prelude.ail`
Expected:
- `(class prelude.Eq)` followed within 5 lines by `(type (con Unit))` — `instance Eq Unit` present
- `(fn float_eq` present
- NO `P2 follow-up` (the line-9 comment has been removed)

- [ ] **Step 8: Spec acceptance criteria 1-11 cross-check**

Walk the spec's `## Acceptance criteria` section (criteria 1-11) one-by-one. Each criterion has a corresponding step above OR is structurally guaranteed by the per-task gates. Confirm each. If any criterion is unmet, the iter is BLOCKED — write to `BLOCKED.md` per the implement-skill protocol with the specific unmet criterion named.

- [ ] **Step 9: Write the iter stats file**

The implement-orchestrator writes the per-iter stats file directly. Path: `bench/orchestrator-stats/2026-05-20-iter-operator-routing-eq-ord.1.json`. The implementer skill specifies the format.

- [ ] **Step 10: Hand off to Boss for commit**

Working tree contains the iter's full set of changes. Boss inspects via `git status` / `git diff --stat`, drafts iter commit body, commits as `iter operator-routing-eq-ord.1 (DONE N/N): drop comparator builtins, route through Eq/Ord` with `closes #1` trailer.
