a3cb39eac9
This PR migrates most remaining tests to the new test suite. It also completes the migration of directories like `tests/lean/run`, meaning that PRs trying to add tests to those old directories will now fail.
161 lines
3.6 KiB
Text
161 lines
3.6 KiB
Text
example : α → α := by
|
||
--^ $/lean/plainGoal
|
||
--^ $/lean/plainGoal
|
||
intro a
|
||
--^ $/lean/plainGoal
|
||
--^ $/lean/plainGoal
|
||
--v $/lean/plainGoal
|
||
focus
|
||
apply a
|
||
|
||
example : α → α := by
|
||
--^ $/lean/plainGoal
|
||
|
||
example : 0 + n = n := by
|
||
induction n with
|
||
| zero => simp; simp
|
||
--^ $/lean/plainGoal
|
||
| succ
|
||
--^ $/lean/plainGoal
|
||
|
||
example : α → α := by
|
||
intro a; apply a
|
||
--^ $/lean/plainGoal
|
||
--^ $/lean/plainGoal
|
||
--^ $/lean/plainGoal
|
||
|
||
example (h1 : n = m) (h2 : m = 0) : 0 = n := by
|
||
rw [h1, h2]
|
||
--^ $/lean/plainGoal
|
||
--^ $/lean/plainGoal
|
||
--^ $/lean/plainGoal
|
||
|
||
example : 0 + n = n := by
|
||
induction n
|
||
focus
|
||
--^ $/lean/plainGoal
|
||
rfl
|
||
-- TODO: goal state after dedent
|
||
|
||
example : 0 + n = n := by
|
||
induction n
|
||
--^ $/lean/plainGoal
|
||
|
||
example : 0 + n = n := by
|
||
cases n
|
||
--^ $/lean/plainGoal
|
||
|
||
example : ∀ a b : Nat, a = b := by
|
||
intro a b
|
||
--^ $/lean/plainGoal
|
||
--^ $/lean/plainGoal
|
||
|
||
example : α → α := (by
|
||
--^ $/lean/plainGoal
|
||
|
||
example (p : α → Prop) (a b : α) [DecidablePred p] (h : ∀ {p} [DecidablePred p], p a → p b) : p b := by
|
||
apply h _
|
||
--^ $/lean/plainGoal
|
||
-- should not display solved goal `⊢ DecidablePred p`
|
||
|
||
example : True ∧ False := by
|
||
constructor
|
||
{ constructor }
|
||
--^ $/lean/plainGoal
|
||
{ }
|
||
--^ $/lean/plainGoal
|
||
|
||
example : True ∧ False := by
|
||
constructor
|
||
· constructor
|
||
--^ $/lean/plainGoal
|
||
·
|
||
--^ $/lean/plainGoal
|
||
|
||
theorem left_distrib (t a b : Nat) : t * (a + b) = t * a + t * b := by
|
||
induction b
|
||
next => simp
|
||
next =>
|
||
rw [Nat.add_succ]
|
||
repeat (rw [Nat.mul_succ])
|
||
--^ $/lean/plainGoal
|
||
|
||
example (as bs cs : List α) : (as ++ bs) ++ cs = as ++ (bs ++ cs) := by
|
||
induction as <;> skip <;> (try rename_i h; simp[h]) <;> rfl
|
||
--^ $/lean/plainGoal
|
||
--^ $/lean/plainGoal
|
||
|
||
example : True := (by exact True.intro)
|
||
--^ $/lean/plainGoal
|
||
|
||
example : True := (by exact True.intro )
|
||
--^ $/lean/plainGoal
|
||
|
||
example : True ∧ False := by
|
||
· constructor; constructor
|
||
--^ $/lean/plainGoal
|
||
|
||
example : True = True := by
|
||
conv =>
|
||
--^ $/lean/plainGoal
|
||
whnf
|
||
--^ $/lean/plainGoal
|
||
--
|
||
--^ $/lean/plainGoal
|
||
|
||
example : True := by
|
||
have : True := by
|
||
-- type here
|
||
--^ $/lean/plainGoal
|
||
-- no `this` here either, but seems okay
|
||
--^ $/lean/plainGoal
|
||
|
||
example : True := by
|
||
have : True := by
|
||
-- type here
|
||
--^ $/lean/plainGoal
|
||
apply this
|
||
--^ $/lean/plainGoal
|
||
-- note: no output here at all because of parse error
|
||
|
||
example : False := by
|
||
-- EOF test
|
||
--^ $/lean/plainGoal
|
||
|
||
example (hp : p) (hq : q) : p ∧ q := by
|
||
suffices q ∧ p by
|
||
--^ $/lean/plainGoal
|
||
|
||
example (hp : p) (hq : q) : p ∧ q :=
|
||
show id (p ∧ q) by
|
||
--^ $/lean/plainGoal
|
||
|
||
example : True ∧ False := by
|
||
constructor
|
||
· --
|
||
--^ $/lean/plainGoal
|
||
--^ $/lean/plainGoal
|
||
|
||
section
|
||
|
||
example : True := by induction 1 with
|
||
--^ $/lean/plainGoal
|
||
|
||
example : True := by induction 1 with |
|
||
--^ $/lean/plainGoal
|
||
|
||
example : True := by induction 1 with done
|
||
--^ $/lean/plainGoal
|
||
|
||
end
|
||
|
||
section
|
||
|
||
example (f : Nat → Nat) (n : Nat) (hf : ∀ x, f x = x + 0 + 1) : f n + 0 = 1 + n := by
|
||
simpa [Nat.add_zero, Nat.add_comm] using hf n
|
||
--^ $/lean/plainGoal
|
||
--^ $/lean/plainGoal
|
||
--^ $/lean/plainGoal
|
||
--^ $/lean/plainGoal
|
||
|
||
end
|