lean4-htt/tests/elab/unfold1.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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Text

mutual
def isEven : Nat → Bool
| 0 => true
| n+1 => isOdd n
decreasing_by apply Nat.lt_succ_self
def isOdd : Nat → Bool
| 0 => false
| n+1 => isEven n
decreasing_by apply Nat.lt_succ_self
end
theorem isEven_double (x : Nat) : isEven (2 * x) = true := by
induction x with
| zero => simp [isEven]
| succ x ih =>
unfold isEven
trace_state
unfold isOdd
trace_state
exact ih
theorem isEven_succ_succ (x : Nat) : isEven (x + 2) = isEven x := by
conv => lhs; unfold isEven; simp; unfold isOdd; simp