Mercurial > hg > Members > atton > agda > systemT
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Add De Morgan's laws
author | Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp> |
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date | Tue, 13 May 2014 11:14:49 +0900 |
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open import systemT open import Relation.Binary.PropositionalEquality module boolean where _and_ : Bool -> Bool -> Bool T and b = b F and _ = F _or_ : Bool -> Bool -> Bool T or _ = T F or b = b not : Bool -> Bool not T = F not F = T De-Morgan's-laws : (a b : Bool) -> (not a) and (not b) ≡ not (a or b) De-Morgan's-laws T T = refl De-Morgan's-laws T F = refl De-Morgan's-laws F T = refl De-Morgan's-laws F F = refl