lean4-htt/tests/elab/reduceBEqSimproc.lean
Garmelon 08eb78a5b2
chore: switch to new test/bench suite (#12590)
This PR sets up the new integrated test/bench suite. It then migrates
all benchmarks and some related tests to the new suite. There's also
some documentation and some linting.

For now, a lot of the old tests are left alone so this PR doesn't become
even larger than it already is. Eventually, all tests should be migrated
to the new suite though so there isn't a confusing mix of two systems.
2026-02-25 13:51:53 +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