lean4-htt/library/init/unit.lean

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/-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.logic
theorem unit_eq (a b : unit) : a = b :=
unit.rec_on a (unit.rec_on b rfl)
theorem unit_eq_unit (a : unit) : a = () :=
unit_eq a ()
definition unit_subsingleton [instance] : subsingleton unit :=
subsingleton.intro unit_eq
definition unit_is_inhabited [instance] : inhabited unit :=
inhabited.mk ()
definition unit_has_decidable_eq [instance] : decidable_eq unit :=
take (a b : unit), decidable.tt (unit_eq a b)