lean4-htt/tests/elab/2161.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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structure Foo where num : Nat deriving DecidableEq
namespace Foo
instance : OfNat Foo n := ⟨⟨n⟩⟩
/-! # Example 1 -/
@[irreducible] def mul (a b : Foo) : Foo :=
let d := Nat.gcd a.num 1
⟨(a.num.div d) * (b.num.div d)⟩
-- should fail fast; exact heartbeat count at time of writing is 31
set_option maxHeartbeats 310
/--
error: Tactic `decide` failed for proposition
((mul 4 1).mul 1).mul 1 = 4
because its `Decidable` instance
instDecidableEqFoo (((mul 4 1).mul 1).mul 1) 4
did not reduce to `isTrue` or `isFalse`.
After unfolding the instances `instDecidableEqFoo`, `instDecidableEqNat`, `Nat.decEq`, and `instDecidableEqFoo.decEq`, reduction got stuck at the `Decidable` instance
match h : (((mul 4 1).mul 1).mul 1).num.beq 4 with
| true => isTrue ⋯
| false => isFalse ⋯
-/
#guard_msgs in
example : ((Foo.mul 4 1).mul 1).mul 1 = 4 := by decide
/-! # Example 2 -/
@[irreducible] def add (a b : Foo) : Foo := ⟨a.num * b.num⟩
-- should not succeed (and fail fast); exact heartbeat count at time of writing is 21
/--
error: Tactic `decide` failed for proposition
((add 4 1).add 1).add 1 = 4
because its `Decidable` instance
instDecidableEqFoo (((add 4 1).add 1).add 1) 4
did not reduce to `isTrue` or `isFalse`.
After unfolding the instances `instDecidableEqFoo`, `instDecidableEqNat`, `Nat.decEq`, and `instDecidableEqFoo.decEq`, reduction got stuck at the `Decidable` instance
match h : (((add 4 1).add 1).add 1).num.beq 4 with
| true => isTrue ⋯
| false => isFalse ⋯
-/
#guard_msgs in
example : ((Foo.add 4 1).add 1).add 1 = 4 := by decide