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.
47 lines
1.2 KiB
Text
47 lines
1.2 KiB
Text
theorem ex1 (a : α) (b : List α) : (a::b = []) = False :=
|
||
by simp
|
||
|
||
theorem ex2 (a : α) (b : List α) : (a::b = []) = False :=
|
||
by simp
|
||
|
||
theorem ex3 (x : Nat) : (if Nat.succ x = 0 then 1 else 2) = 2 :=
|
||
by simp
|
||
|
||
theorem ex4 (x : Nat) : (if 10 = 0 then 1 else 2) = 2 :=
|
||
by simp
|
||
|
||
theorem ex5 : (10 = 20) = False :=
|
||
by simp
|
||
|
||
/--
|
||
info: theorem ex5 : (10 = 20) = False :=
|
||
of_eq_true (Eq.trans (congrFun' (congrArg Eq (eq_false_of_decide (Eq.refl false))) False) (eq_self False))
|
||
-/
|
||
#guard_msgs in
|
||
#print ex5
|
||
|
||
theorem ex6 : (if "hello" = "world" then 1 else 2) = 2 :=
|
||
by simp (config := { decide := true })
|
||
|
||
/--
|
||
info: theorem ex6 : (if "hello" = "world" then 1 else 2) = 2 :=
|
||
of_eq_true (eq_true_of_decide (Eq.refl true))
|
||
-/
|
||
#guard_msgs in
|
||
#print ex6
|
||
|
||
theorem ex7 : (if "hello" = "world" then 1 else 2) = 2 := by
|
||
simp (config := { decide := false }) [-String.reduceEq]
|
||
guard_target =ₛ ¬ "hello" = "world"
|
||
fail_if_success simp [-String.reduceEq]
|
||
simp (config := { decide := true }) [-String.reduceEq]
|
||
|
||
theorem ex8 : (10 + 2000 = 20) = False :=
|
||
by simp
|
||
|
||
def fact : Nat → Nat
|
||
| 0 => 1
|
||
| x+1 => (x+1) * fact x
|
||
|
||
theorem ex9 : (if fact 100 > 10 then true else false) = true :=
|
||
by simp (config := { decide := true })
|