lean4-htt/tests/elab/contra.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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def ex1 (p : Prop) (h1 : p) (h2 : p → False) : α := by
contradiction
def ex2 (p : Prop) (h1 : p) (h2 : ¬ p) : α := by
contradiction
def ex3 (p : Prop) (h1 : id p) (h2 : ¬ p) : α := by
contradiction
def ex4 (p : Prop) (h1 : id p) (h2 : id (Not p)) : α := by
contradiction
def ex5 (h : x+1 = 0) : α := by
contradiction
def ex6 (h : 0+0 ≠ 0) : α := by
contradiction
def ex7 (x : α) (h : Not (x = x)) : α := by
contradiction
def ex8 (h : 0+0 = 0 → False) : α := by
contradiction
def ex9 (h : 10 = 20) : α := by
contradiction
def ex10 (h : [] = [1, 2, 3]) : α := by
contradiction
def ex11 (h : id [] = [1, 2, 3]) : α := by
contradiction
def ex12 (h : False) : α := by
contradiction
def ex13 (h : id False) : α := by
contradiction
def ex14 (h : 100000000 ≤ 20) : α := by
contradiction
def ex15 (x : α) (h : x = x → False) : α := by
contradiction
theorem ex16 (xs : List α) (h : xs = [] → False) : Nonempty α := by
cases xs using List.rec with
| nil => contradiction
| cons x _ => apply Nonempty.intro; assumption