lean4-htt/tests/elab/symm.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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import Init.Tactics
set_option autoImplicit true
set_option linter.missingDocs false
-- testing that the attribute is recognized
@[symm] def eq_symm {α : Type} (a b : α) : a = b → b = a := Eq.symm
example (a b : Nat) : a = b → b = a := by intros; symm; assumption
example (a b : Nat) : a = b → True → b = a := by intro h _; symm at h; assumption
def sameParity : Nat → Nat → Prop
| n, m => n % 2 = m % 2
@[symm] def sameParity_symm (n m : Nat) : sameParity n m → sameParity m n := Eq.symm
example (a b : Nat) : sameParity a b → sameParity b a := by intros; symm; assumption
def MyEq (n m : Nat) := ∃ k, n + k = m ∧ m + k = n
@[symm] theorem MyEq.symm {n m : Nat} (h : MyEq n m) : MyEq m n := by
rcases h with ⟨k, h1, h2⟩
exact ⟨k, h2, h1⟩
example {n m : Nat} (h : MyEq n m) : MyEq m n := by
symm
assumption