lean4-htt/tests/lean/run/reduceBEqSimproc.lean
Leonardo de Moura b668a18a9d
refactor: rename instance_reducible to implicit_reducible (#12567)
This PR renames `instance_reducible` to `implicit_reducible` and adds a
new
`backward.isDefEq.implicitBump` option to prepare for treating all
implicit
arguments uniformly during definitional equality checking.

## Changes

**Rename `instance_reducible` → `implicit_reducible`:**
- Rename `ReducibilityStatus.instanceReducible` constructor to
`implicitReducible`
- Register new `[implicit_reducible]` attribute, keep
`[instance_reducible]` as alias
- Rename `isInstanceReducible` → `isImplicitReducible` (with deprecated
aliases)
- Update all references across src/ and tests/

The rename reflects that this reducibility level is used not just for
instances
but for any definition that needs unfolding during implicit argument
resolution
(e.g., `Nat.add`, `Array.size`).

**Add `backward.isDefEq.implicitBump` option:**
- When `true` (+ `respectTransparency`), bumps transparency to
`.instances` for
ALL implicit arguments in `isDefEqArgs`, not just instance-implicit ones
- Defaults to `false` for staging compatibility — will be flipped to
`true` after
  stage0 update
- Adds `// update me!` to `stage0/src/stdlib_flags.h` to trigger CI
stage0 update

## Follow-up (after stage0 update)
- Flip `backward.isDefEq.implicitBump` default to `true`
- Fix resulting test/module failures

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

---------

Co-authored-by: Claude Opus 4.6 <noreply@anthropic.com>
2026-02-18 22:19:16 +00:00

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module
-- set_option trace.Elab.Deriving.lawfulBEq true
-- set_option trace.Meta.MethodSpecs true
set_option deriving.beq.linear_construction_threshold 1000
inductive L (α : Type u) where
| nil : L α
| cons : α → L α → L α
deriving BEq
example {n m : Nat} (h : n = m) :
(L.cons n (L.nil : L Nat) == L.cons m (L.nil : L Nat)) = true := by
simp [reduceBEq]
assumption
-- Linear construction
namespace Linear
set_option deriving.beq.linear_construction_threshold 0
inductive L (α : Type u) where
| nil : L α
| cons : α → L α → L α
deriving BEq
-- This should still split the equations
/--
info: Linear.instBEqL.beq.eq_1.{u_1} {α✝ : Type u_1} [BEq α✝] (x✝ x✝¹ : L α✝) :
instBEqL.beq x✝ x✝¹ =
match decEq x✝.ctorIdx x✝¹.ctorIdx with
| isTrue h =>
match x✝, x✝¹, h with
| L.nil, L.nil, ⋯ => true
| L.cons a a_1, L.cons a' a'_1, ⋯ => a == a' && instBEqL.beq a_1 a'_1
| isFalse h => false
-/
#guard_msgs in
#check instBEqL.beq.eq_1
-- And this should work without L.ctorIdx
example {n m : Nat} (h : n = m) :
(L.cons n (L.nil : L Nat) == L.cons m (L.nil : L Nat)) = true := by
simp [reduceBEq, reduceCtorIdx]
assumption
end Linear
-- Module system interactions
namespace A
inductive L where | nil : L | cons : Nat → L → L deriving BEq
-- NB: Instance, op and theorem are private
/-- info: @[implicit_reducible] private def A.instBEqL : BEq L -/
#guard_msgs in #print sig instBEqL
/-- info: private def A.instBEqL.beq : L → L → Bool -/
#guard_msgs in #print sig instBEqL.beq
/-- info: private theorem A.instBEqL.beq_spec_1 : (L.nil == L.nil) = true -/
#guard_msgs(pass trace, all) in #print sig instBEqL.beq_spec_1
example : (L.cons n (L.nil : L) == L.cons m (L.nil : L)) ↔ n = m := by simp [reduceBEq]
end A
namespace B
public inductive L where | nil : L | cons : Nat → L → L deriving BEq
-- NB: Instance is public and exposed, op and theorem are private
/-- info: @[implicit_reducible, expose] def B.instBEqL : BEq L -/
#guard_msgs in #print sig instBEqL
/-- info: def B.instBEqL.beq : L → L → Bool -/
#guard_msgs in #print sig instBEqL.beq
-- NB: Private theorem
/-- info: private theorem B.instBEqL.beq_spec_1 : (L.nil == L.nil) = true -/
#guard_msgs(pass trace, all) in #print sig instBEqL.beq_spec_1
example : (L.cons n (L.nil : L) == L.cons m (L.nil : L)) ↔ n = m := by simp [reduceBEq]
end B
namespace C
public inductive L where | nil : L | cons : Nat → L → L deriving @[expose] BEq
-- NB: Public exposed instances, implementation and public theorem
/-- info: @[implicit_reducible, expose] def C.instBEqL : BEq L -/
#guard_msgs in #print sig instBEqL
/-- info: @[expose] def C.instBEqL.beq : L → L → Bool -/
#guard_msgs in #print sig instBEqL.beq
/-- info: theorem C.instBEqL.beq_spec_1 : (L.nil == L.nil) = true -/
#guard_msgs(pass trace, all) in #print sig instBEqL.beq_spec_1
example : (L.cons n (L.nil : L) == L.cons m (L.nil : L)) ↔ n = m := by simp [reduceBEq]
end C