lean4-htt/tests/lean/run/arrayDecEq.lean
Robert J. Simmons b6399e18c3
feat: allow decidable equality for empty lists and empty arrays (#11269)
This PR adds support for decidable equality of empty lists and empty
arrays. Decidable equality for lists and arrays is suitably modified so
that all diamonds are definitionally equal.

Following #9302, the strong condition of definitionally equal under
`with_reducible_and_instances` is tested. This also moves some of the
comments added in #9302 out of docstrings.

---------

Co-authored-by: Aaron Liu <aaronliu2008@outlook.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
2025-11-20 20:19:31 +00:00

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def listL (a : Array α) := if a = #[] then 1 else 2
def listR (a : Array α) := if #[] = a then 1 else 2
/-- info: 1 -/
#guard_msgs in #eval @listL Nat #[]
/-- info: 2 -/
#guard_msgs in #eval listL #[""]
/-- info: 1 -/
#guard_msgs in #eval @listL Nat #[]
/-- info: 2 -/
#guard_msgs in #eval listL #[()]
-- test instance diamonds
example :
@Array.instDecidableEmpEq α #[] = @Array.instDecidableEqEmp α #[] := by
with_reducible_and_instances rfl
section
variable {α : Type u} [DecidableEq α]
example (x : Array α) :
Array.instDecidableEq x #[] = Array.instDecidableEqEmp x := by
with_reducible_and_instances rfl
example (x : Array α) :
Array.instDecidableEq #[] x = Array.instDecidableEmpEq x := by
with_reducible_and_instances rfl
end