lean4-htt/tests/elab/grind_nat_sub_encoding.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
/-!
This is a `grind` regression reported by David Renshaw:
the following proof works in v4.22.0 but not in v4.23.0-rc2. (Increasing the splits threshold does not help.)
**Cause:** `Nat.sub` embedding into `Int`.
**Remark:** The benchmark is nonlinear.
-/
example (k m : Nat) (c : Nat → Nat)
(hk₀ : k ≤ m)
(h₅₀ : ∀ (a b : Nat), c a - c b = (a - b) * (a + b + 1))
(x : Nat) : c k ≤ c (m + x) := by
grind
example (k m : Nat) (c : Nat → Nat)
(hk₀ : k ≤ m)
(h₅₀ : ∀ (a b : Nat), c a - c b = (a - b) * (a + b + 1))
(x : Nat) : c k ≤ c (m + x) := by
grind -ring