lean4-htt/tests/elab/split1.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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-- set_option trace.Meta.Match.match true
-- set_option trace.Meta.Match.matchEqs true
def f (xs : List Nat) : Nat :=
match xs with
| [] => 1
| [a, b] => (a + b).succ
| _ => 2
theorem ex1 (xs : List Nat) (hr : xs.reverse = xs) (ys : Nat) : ys > 0 → f xs > 0 := by
simp [f]
split
next => intro hys; decide
next => intro hys; apply Nat.zero_lt_succ
next zs n₁ n₂ => intro hys; decide
def g (xs : List Nat) : Nat :=
match xs with
| [a, b, c, d, e] => a + e + 1
| _ => 1
theorem ex2 (xs : List Nat) : g xs > 0 := by
simp [g]
split
next a b c d e => apply Nat.zero_lt_succ
next h => decide