lean4-htt/library/init/data/punit.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
lemma punit_eq (a b : punit) : a = b :=
punit.rec_on a (punit.rec_on b rfl)
lemma punit_eq_punit (a : punit) : a = () :=
punit_eq a ()
instance : subsingleton punit :=
subsingleton.intro punit_eq
instance : inhabited punit :=
⟨()⟩
instance : decidable_eq punit :=
λ a b, is_true (punit_eq a b)