lean4-htt/tests/elab/ext1.lean
Garmelon 08eb78a5b2
chore: switch to new test/bench suite (#12590)
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.
2026-02-25 13:51:53 +00:00

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axiom mySorry {α : Sort _} : α
structure A (n : Nat) where
a : Nat
example (a b : A n) : a = b True := by
fail_if_success
apply Or.inl; ext
exact Or.inr trivial
structure B (n) extends A n where
b : Nat
h : b > 0
i : Fin b
@[ext] structure C (n) extends B n where
c : Nat
example (a b : C n) : a = b := by
ext
guard_target = a.a = b.a; exact mySorry
guard_target = a.b = b.b; exact mySorry
guard_target = a.i ≍ b.i; exact mySorry
guard_target = a.c = b.c; exact mySorry
@[ext (flat := false)] structure C' (n) extends B n where
c : Nat
example (a b : C' n) : a = b := by
ext
guard_target = a.toB = b.toB; exact mySorry
guard_target = a.c = b.c; exact mySorry
open Lean.Elab.Tactic.Ext
example (f g : Nat × Nat → Nat) : f = g := by
ext ⟨x, y⟩
guard_target = f (x, y) = g (x, y); exact mySorry
-- Check that we generate a warning if there are too many patterns.
-- /-- warning: `ext` did not consume the patterns: [j] [linter.unusedRCasesPattern] -/
-- #guard_msgs in
-- example (f g : Nat → Nat) (h : f = g) : f = g := by
-- ext i j
-- exact h ▸ rfl
-- allow more specific ext theorems
@[ext high] theorem Fin.zero_ext (a b : Fin 0) : True → a = b := by cases a.isLt
example (a b : Fin 0) : a = b := by ext; exact True.intro
def Set (α : Type u) := α → Prop
@[ext] structure LocalEquiv (α : Type u) (β : Type v) where
source : Set α
@[ext] structure Pretrivialization {F : Type u} (proj : Z → β) extends LocalEquiv Z (β × F) where
baseSet : Set β
source_eq : source = baseSet ∘ proj
structure MyUnit
@[ext (iff := false) high] theorem MyUnit.ext1 (x y : MyUnit) (_h : 0 = 1) : x = y := rfl
@[ext high] theorem MyUnit.ext2 (x y : MyUnit) (_h : 1 = 1) : x = y := rfl
@[ext (iff := false)] theorem MyUnit.ext3 (x y : MyUnit) (_h : 2 = 1) : x = y := rfl
example (x y : MyUnit) : x = y := by ext; rfl
-- Check that we don't generate a warning when `x` only uses a pattern in one branch:
example (f : × ()) : f = f := by
ext x
· rfl
· guard_target = (f.2) x = (f.2) x
rfl
example (f : Empty → Empty) : f = f := by
ext ⟨⟩
@[ext (iff := false)] theorem ext_intros {n m : Nat} (w : ∀ n m : Nat, n = m) : n = m := by apply w
example : 3 = 7 := by
ext : 1
rename_i n m
guard_target = n = m
admit
example : 3 = 7 := by
ext n m : 1
guard_target = n = m
admit
section erasing_ext_attribute
def f (p : Int × Int) : Int × Int := (p.2, p.1)
example : f ∘ f = id := by
ext ⟨a, b⟩
· simp [f]
· simp [f]
attribute [-ext] Prod.ext
example : f ∘ f = id := by
ext ⟨a, b⟩
simp [f]
end erasing_ext_attribute