lean4-htt/old_library/init/unit.lean
2016-09-21 11:43:28 -07:00

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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 ()
attribute [instance]
definition unit_subsingleton : subsingleton unit :=
subsingleton.intro unit_eq
attribute [instance]
definition unit_is_inhabited : inhabited unit :=
⟨()⟩