lean4-htt/tests/elab_fail/notNaturalNumbersGame.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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-- Catch special case of induction pattern that uses Mathlib's alternative `induction'` syntax,
-- which is used in the Natural Numbers game as just `induction`, overlapping with the parser for
-- Lean's default tactic
theorem zero_mul (m : Nat) : 0 * m = 0 := by
induction m with n n_ih
rw [Nat.mul_zero]
rw [Nat.mul_succ]
rw [Nat.add_zero]
rw [n_ih]
theorem zero_mul2 (m : Nat) : 0 * m = 0 := by
cases m with n
rw [Nat.mul_zero]
rw [Nat.mul_succ]
rw [Nat.add_zero]
rw [zero_mul]
-- Special case not triggered by empty case analysis
theorem zero_mul3 (m : Nat) : 0 * m = 0 := by
induction m with
theorem zero_mul4 (m : Nat) : 0 * m = 0 := by
cases m with