lean4-htt/old_library/init/sum.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.
Authors: Leonardo de Moura, Jeremy Avigad
The sum type, aka disjoint union.
-/
prelude
import init.logic
notation A ⊕ B := sum A B
universe variables u v
variables {A : Type u} {B : Type v}
attribute [instance]
protected definition is_inhabited_left [h : inhabited A] : inhabited (A ⊕ B) :=
⟨sum.inl (default A)⟩
attribute [instance]
protected definition is_inhabited_right [h : inhabited B] : inhabited (A ⊕ B) :=
⟨sum.inr (default B)⟩