lean4-htt/tests/elab/noncomputable_decide.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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open scoped Classical
/--
error: Tactic `native_decide` failed. Error: failed to compile definition, consider marking it as 'noncomputable' because it depends on 'Classical.propDecidable', which is 'noncomputable'
-/
#guard_msgs in
theorem ohno : False := by
let f : Nat → Nat := fun n => if n=0 then 0 else
if (∃ k, n = 2 * k) then n / 2 else 3 * n + 1;
have h2 : f (f 2) ≠ 4 := by
native_decide;
have h2 : f (f 2) = 4 := by
have : ∃ k, 2 = 2 * k := ⟨1, rfl⟩
simp +decide +arith [f, this];
omega
contradiction