Mercurial > hg > Members > kono > Proof > ZF-in-agda
diff ordinal.agda @ 144:3ba37037faf4
Union again
author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
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date | Mon, 08 Jul 2019 13:21:14 +0900 |
parents | c30bc9f5bd0d |
children | c848550c8b39 |
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--- a/ordinal.agda Mon Jul 08 12:34:08 2019 +0900 +++ b/ordinal.agda Mon Jul 08 13:21:14 2019 +0900 @@ -314,11 +314,14 @@ caseOSuc lx ox (TransFinite caseΦ caseOSuc record { lv = lx ; ord = ox }) -- (¬ (∀ y → ¬ ( ψ y ))) → (ψ y → p ) → p -TransFiniteExists : {n : Level} → { ψ : Ordinal {n} → Set n } +-- may be we can prove this... +postulate + TransFiniteExists : {n : Level} → { ψ : Ordinal {n} → Set n } → (exists : ¬ (∀ y → ¬ ( ψ y ) )) → {p : Set n} ( P : { y : Ordinal {n} } → ψ y → p ) → p -TransFiniteExists {n} {ψ} exists {p} P = ⊥-elim ( exists lemma ) where - lemma : (y : Ordinal {n} ) → ¬ ψ y - lemma y ψy = ( TransFinite {n} {{!!}} {!!} {!!} y ) ψy + +-- TransFiniteExists {n} {ψ} exists {p} P = ⊥-elim ( exists lemma ) where +-- lemma : (y : Ordinal {n} ) → ¬ ψ y +-- lemma y ψy = ( TransFinite {n} {{!!}} {!!} {!!} y ) ψy