08eb78a5b2
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.
41 lines
978 B
Text
41 lines
978 B
Text
theorem test1 {α} (a b : α) (as bs : List α) (h : a::as = b::bs) : a = b :=
|
||
by {
|
||
injection h
|
||
}
|
||
|
||
theorem test2 {α} (a b : α) (f : α → α) (as bs : List α) (h : a::as = b::bs) : f a = f b :=
|
||
by {
|
||
injection h with h1 h2;
|
||
rw [h1]
|
||
}
|
||
|
||
theorem test3 {α} (a b : α) (f : List α → List α) (as bs : List α) (h : (x : List α) → (y : List α) → x = y) : f as = f bs :=
|
||
have : a::as = b::bs := h (a::as) (b::bs);
|
||
by {
|
||
injection this with h1 h2;
|
||
rw [h2]
|
||
}
|
||
|
||
theorem test4 {α} (a b : α) (f : List α → List α) (as bs : List α) (h : (x : List α) → (y : List α) → x = y) : f as = f bs :=
|
||
by {
|
||
injection h (a::as) (b::bs) with h1 h2;
|
||
rw [h2]
|
||
}
|
||
|
||
theorem test5 {α} (a : α) (as : List α) (h : a::as = []) : 0 > 1 :=
|
||
by {
|
||
injection h
|
||
}
|
||
|
||
theorem test6 (n : Nat) (h : n+1 = 0) : 0 > 1 :=
|
||
by {
|
||
injection h
|
||
}
|
||
|
||
theorem test7 (n m k : Nat) (h : n + 1 = m + 1) : m = k → n = k :=
|
||
by {
|
||
injection h with h₁;
|
||
subst h₁;
|
||
intro h₂;
|
||
exact h₂
|
||
}
|