# HG changeset patch # User Shinji KONO # Date 1596682235 -32400 # Node ID 47aacf417930c61e1b79ef736d370aaec315aa16 # Parent f7d66c84bc26bd047f482d73dd526a1c3170c1bf ... diff -r f7d66c84bc26 -r 47aacf417930 cardinal.agda --- 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 }