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.
19 lines
804 B
Text
19 lines
804 B
Text
-- Issue originally reported at
|
||
-- https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/tactic.20doesn't.20change.20primary.20goal.20state/near/488957772
|
||
class Preorder (α : Type) extends LE α, LT α where
|
||
le_refl : ∀ a : α, a ≤ a
|
||
le_trans : ∀ a b c : α, a ≤ b → b ≤ c → a ≤ c
|
||
lt := fun a b => a ≤ b ∧ ¬b ≤ a
|
||
lt_iff_le_not_le : ∀ a b : α, a < b ↔ a ≤ b ∧ ¬b ≤ a := by intros; rfl
|
||
|
||
class PartialOrder (α : Type) extends Preorder α where
|
||
le_antisymm : ∀ a b : α, a ≤ b → b ≤ a → a = b
|
||
|
||
instance : PartialOrder Nat where
|
||
le := (· ≤ ·)
|
||
le_refl := Nat.le_refl
|
||
le_trans a b c := Nat.le_trans
|
||
le_antisymm := by
|
||
intro x
|
||
-- One goal: x : Nat ⊢ ∀ (b : Nat), x ≤ b → b ≤ x → x = b
|
||
--^ $/lean/plainGoal
|