lean2/library/standard/unit.lean
Leonardo de Moura 105c29b51e refactor(library/standard): use new coding style, rename bool.b0 and bool.b1 to bool.ff and bool.tt
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-28 19:59:38 -07:00

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-- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
import logic decidable
using decidable
namespace unit
inductive unit : Type :=
| star : unit
notation `⋆`:max := star
theorem unit_eq (a b : unit) : a = b :=
unit_rec (unit_rec (refl ⋆) b) a
theorem inhabited_unit [instance] : inhabited unit :=
inhabited_intro ⋆
theorem decidable_eq [instance] (a b : unit) : decidable (a = b) :=
inl (unit_eq a b)
end