Mercurial > hg > Members > kono > Proof > ZF-in-agda
changeset 426:47aacf417930
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author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
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date | Thu, 06 Aug 2020 11:50:35 +0900 |
parents | f7d66c84bc26 |
children | 9b0630f03c4b |
files | cardinal.agda |
diffstat | 1 files changed, 4 insertions(+), 4 deletions(-) [+] |
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--- a/cardinal.agda Wed Aug 05 19:37:07 2020 +0900 +++ b/cardinal.agda Thu Aug 06 11:50:35 2020 +0900 @@ -70,9 +70,9 @@ record Injection (A B : Ordinal ) : Set n where field - i→ : (x : Ordinal ) → odef (* B) x → Ordinal - iA : (x : Ordinal ) → ( lt : odef (* B) x ) → odef (* A) ( i→ x lt ) - iiso : (x y : Ordinal ) → ( ltx : odef (* B) x ) ( lty : odef (* B) y ) → i→ x ltx ≡ i→ y lty → x ≡ y + i→ : (x : Ordinal ) → odef (* A) x → Ordinal + iB : (x : Ordinal ) → ( lt : odef (* A) x ) → odef (* B) ( i→ x lt ) + iiso : (x y : Ordinal ) → ( ltx : odef (* A) x ) ( lty : odef (* A) y ) → i→ x ltx ≡ i→ y lty → x ≡ y record Bijection (A B : Ordinal ) : Set n where field @@ -90,7 +90,7 @@ A =c= B = Bijection ( & A ) ( & B ) _c<_ : ( A B : HOD ) → Set n -A c< B = Injection (& A) (& B) +A c< B = ¬ ( Injection (& A) (& B) ) Card : OD Card = record { def = λ x → (a : Ordinal) → a o< x → ¬ Bijection a x }