lean2/library/standard/unit.lean
Leonardo de Moura 8adf6e25ef refactor(library/standard/unit): make unit type similar to the one in the hott library
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-07-22 09:56:05 -07:00

22 lines
No EOL
545 B
Text

-- 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 ⋆
using decidable
theorem decidable_eq [instance] (a b : unit) : decidable (a = b)
:= inl (unit_eq a b)
end