Mercurial > hg > Members > kono > Proof > ZF-in-agda
diff OD.agda @ 213:22d435172d1a
separate logic and nat
author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
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date | Fri, 02 Aug 2019 12:17:10 +0900 |
parents | 2c7d45734e3b |
children | e05575588191 |
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--- a/OD.agda Thu Aug 01 15:38:08 2019 +0900 +++ b/OD.agda Fri Aug 02 12:17:10 2019 +0900 @@ -11,6 +11,9 @@ open import Relation.Binary open import Relation.Binary.Core +open import logic +open import nat + -- Ordinal Definable Set record OD {n : Level} : Set (suc n) where @@ -21,6 +24,8 @@ open Ordinal open _∧_ +open _∨_ +open Bool record _==_ {n : Level} ( a b : OD {n} ) : Set n where field @@ -155,9 +160,6 @@ o≡→== : {n : Level} → { x y : Ordinal {n} } → x ≡ y → ord→od x == ord→od y o≡→== {n} {x} {.x} refl = eq-refl ->→¬< : {x y : Nat } → (x < y ) → ¬ ( y < x ) ->→¬< (s≤s x<y) (s≤s y<x) = >→¬< x<y y<x - c≤-refl : {n : Level} → ( x : OD {n} ) → x c≤ x c≤-refl x = case1 refl