lean4-htt/tests/elab/defeqAttrib.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 testSorry : α
opaque a : Nat
opaque b : Nat
def c := a
@[irreducible] def d := a
opaque P : Nat → Prop
@[irreducible] def ac := a = c
/--
error: Not a definitional equality: the left-hand side
a
is not definitionally equal to the right-hand side
b
-/
#guard_msgs in
@[defeq] theorem a_eq_b : a = b := testSorry
theorem a_eq_c : a = c := rfl
@[defeq] theorem a_eq_c' : a = c := Eq.refl _
theorem a_eq_c'' : a = c := Eq.refl _
@[defeq] theorem a_eq_c''' : ac := by with_unfolding_all rfl
@[defeq] theorem a_eq_d : a = d := by simp [d]
/-- error: Not a definitional equality: the conclusion should be an equality, but is `True` -/
#guard_msgs in
@[defeq] def not_an_eq : True := trivial
def Tricky.rfl := a_eq_b
/--
error: Not a definitional equality: the left-hand side
a
is not definitionally equal to the right-hand side
b
-/
#guard_msgs in
theorem Tricky.a_eq_b : a = b := rfl -- to confuse the heuristics
/-! Does `#print` show the attribute? -/
/-- info: @[defeq] theorem a_eq_c : a = c -/
#guard_msgs in
#print sig a_eq_c
/-! Does dsimp use it? -/
/-- error: `dsimp` made no progress -/
#guard_msgs in example (h : P b) : P a := by dsimp [a_eq_b]; exact h
/-- error: `dsimp` made no progress -/
#guard_msgs in example (h : P b) : P a := by dsimp [Tricky.a_eq_b]; exact h
#guard_msgs in example (h : P c) : P a := by dsimp [a_eq_c]; exact h
#guard_msgs in example (h : P c) : P a := by dsimp [a_eq_c']; exact h
/-- error: `dsimp` made no progress -/
#guard_msgs in example (h : P c) : P a := by dsimp [a_eq_c'']; exact h
-- a_eq_c''' is correctly tagged, but not used by `a_eq_c` because simp does not look through `ac`.
/-- error: `dsimp` made no progress -/
#guard_msgs in example (h : P c) : P a := by dsimp [a_eq_c''']; exact h
#guard_msgs in example (h : P d) : P a := by dsimp [a_eq_d]; exact h
-- Order of simp and rfl attribute
def e1 := a
@[simp] theorem e1_eq_a : e1 = a := rfl
#guard_msgs in example (h : P a) : P e1 := by dsimp; exact h
def e2 := a
@[defeq,simp] theorem e2_eq_a : e2 = a := (rfl)
#guard_msgs in example (h : P a) : P e2 := by dsimp; exact h
def e3 := a
@[simp,defeq] theorem e3_eq_a : e2 = a := (rfl) -- defeq has to come before simp
/-- error: `dsimp` made no progress -/
#guard_msgs in example (h : P a) : P e3 := by dsimp; exact h
-- Tests the `defeq` attribute on a realized constant: That they are set, and that they
-- are transported out
def f := a
#guard_msgs in example (h : P a) : P f := by dsimp [f]; exact h
#guard_msgs in example (h : P a) : P f := by dsimp [f.eq_1]; exact h
#guard_msgs in example (h : P a) : P f := by dsimp [f.eq_def]; exact h
#guard_msgs in example (h : P a) : P f := by dsimp [f.eq_unfold]; exact h
def Q := 1 = 1
@[defeq, simp] theorem Q_true : Q := rfl
/-- error: `dsimp` made no progress -/
#guard_msgs in example : Q := by dsimp [Q_true]