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lean4/tests/elab/grind_cutsat_instances.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
class Distrib (R : Type _) extends Mul R where
namespace Nat
-- From Mathlib.Algebra.Ring.Parity
instance instDistrib : Distrib Nat where
mul := (· * ·)
theorem odd_iff.extracted_1_4 {n : Nat} (m : Nat)
(hm : n =
@HMul.hMul _ _ _ (@instHMul Nat instDistrib.toMul)
2 m + 1) :
n % 2 = 1 := by
grind
end Nat
namespace Int
-- From Mathlib.Algebra.Ring.Parity.Int
instance instDistrib : Distrib Int where
mul := (· * ·)
theorem four_dvd_add_or_sub_of_odd.extracted_1_1 (m n : Int) :
4 ((@HMul.hMul Int Int Int (@instHMul Int Int.instDistrib.toMul)
2 m) + 1) +
((@HMul.hMul Int Int Int (@instHMul Int Int.instDistrib.toMul)
2 n) + 1)
4 ((@HMul.hMul Int Int Int (@instHMul Int Int.instDistrib.toMul)
2 m) + 1) -
((@HMul.hMul Int Int Int (@instHMul Int Int.instDistrib.toMul)
2 n) + 1) := by
grind
end Int