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.
160 lines
2.4 KiB
Text
160 lines
2.4 KiB
Text
/-!
|
|
# Testing the new behavior of the `show` tactic
|
|
|
|
Implemented in PR #7395.
|
|
-/
|
|
|
|
/-!
|
|
`show` can change a single goal to a definitionally equivalent one.
|
|
-/
|
|
|
|
/--
|
|
error: unsolved goals
|
|
x : Nat
|
|
⊢ x - 0 = 3 - 3
|
|
-/
|
|
#guard_msgs in
|
|
example : x = 0 := by
|
|
show x - 0 = 3 - 3
|
|
|
|
/-!
|
|
`show` on a single goal fails if the pattern is not defeq to the target.
|
|
-/
|
|
|
|
/--
|
|
error: 'show' tactic failed, pattern
|
|
x = 1
|
|
is not definitionally equal to target
|
|
x = 0
|
|
-/
|
|
#guard_msgs in
|
|
example : x = 0 := by
|
|
show x = 1
|
|
|
|
/-!
|
|
`show` on multiple goals picks the first that matches.
|
|
-/
|
|
|
|
/--
|
|
error: unsolved goals
|
|
case refine_2
|
|
x : Nat
|
|
⊢ x = 1
|
|
|
|
case refine_1
|
|
x : Nat
|
|
⊢ x = 0
|
|
-/
|
|
#guard_msgs in
|
|
example : x = 0 ∧ x = 1 := by
|
|
and_intros
|
|
show _ = 1
|
|
|
|
/-!
|
|
The matching goal is moved to the front and the order of the others is preserved.
|
|
-/
|
|
|
|
/--
|
|
error: unsolved goals
|
|
case refine_2.refine_2.refine_1
|
|
x : Nat
|
|
⊢ x = 2
|
|
|
|
case refine_1
|
|
x : Nat
|
|
⊢ x = 0
|
|
|
|
case refine_2.refine_1
|
|
x : Nat
|
|
⊢ x = 1
|
|
|
|
case refine_2.refine_2.refine_2
|
|
x : Nat
|
|
⊢ x = 3
|
|
-/
|
|
#guard_msgs in
|
|
example : x = 0 ∧ x = 1 ∧ x = 2 ∧ x = 3 := by
|
|
and_intros
|
|
show _ = 2
|
|
|
|
/-!
|
|
All goals are first elaborated without error recovery.
|
|
-/
|
|
|
|
/--
|
|
error: unsolved goals
|
|
case refine_2.refine_2
|
|
a : Unit
|
|
⊢ a = ()
|
|
|
|
case refine_1
|
|
⊢ () = ()
|
|
|
|
case refine_2.refine_1
|
|
⊢ () = ()
|
|
-/
|
|
#guard_msgs in
|
|
example : () = () ∧ () = () ∧ (∀ a, a = ()) := by
|
|
and_intros; all_goals try intro a
|
|
show a = _
|
|
|
|
/-!
|
|
The first goal is re-elaborated with error recovery.
|
|
-/
|
|
|
|
/--
|
|
error: Unknown identifier `a`
|
|
---
|
|
error: unsolved goals
|
|
case refine_1
|
|
⊢ sorry = ()
|
|
|
|
case refine_2
|
|
⊢ () = ()
|
|
-/
|
|
#guard_msgs in
|
|
example : () = () ∧ () = () := by
|
|
and_intros
|
|
show a = _
|
|
|
|
/-!
|
|
If all unifications fail, the error is from the first goal with a mention that the later goals
|
|
also weren't defeq.
|
|
-/
|
|
|
|
/--
|
|
error: 'show' tactic failed, no goals unify with the given pattern.
|
|
|
|
In the first goal, the pattern
|
|
x = 4
|
|
is not definitionally equal to the target
|
|
x = 1
|
|
(Errors for other goals omitted)
|
|
-/
|
|
#guard_msgs in
|
|
example : x = 1 ∧ x = 2 ∧ x = 3 := by
|
|
and_intros
|
|
show x = 4
|
|
|
|
/-!
|
|
`show` also works when a mentioned variable only exists in some goals.
|
|
-/
|
|
|
|
/--
|
|
error: unsolved goals
|
|
case refine_2.refine_2
|
|
c : Nat
|
|
⊢ c = 1
|
|
|
|
case refine_1
|
|
a : Nat
|
|
⊢ a = 1
|
|
|
|
case refine_2.refine_1
|
|
b : Nat
|
|
⊢ b = 1
|
|
-/
|
|
#guard_msgs in
|
|
example : (∀ a, a = 1) ∧ (∀ b, b = 1) ∧ (∀ c, c = 1) := by
|
|
and_intros; all_goals unhygienic intro
|
|
show c = _
|