# HG changeset patch # User Shinji KONO # Date 1688159943 -32400 # Node ID 2da55d442e4f62898002f83998a669f3cf4671bc # Parent 51956de5145592b3d01d212cd7587a067e4aee39 ... diff -r 51956de51455 -r 2da55d442e4f src/cardinal.agda --- a/src/cardinal.agda Fri Jun 30 21:57:16 2023 +0900 +++ b/src/cardinal.agda Sat Jul 01 06:19:03 2023 +0900 @@ -388,9 +388,14 @@ ... | case2 lt1 = ? be72 : (x : Ordinal) (bx : odef (* b) x) → (cc1 : CC1 x) → h (be71 x bx cc1 ) (cc10 bx cc1) ≡ x - be72 x bx (case1 x₁) with cc10 bx (case1 x₁) - ... | case1 c1 = ? -- trans ? (UC-iso1 x (subst (λ k → odef k x) (sym *iso) x₁)) - ... | case2 c2 = ⊥-elim ( c2 ? ) + be72 x bx (case1 (x₁ @ record { y = y ; ay = ay ; x=fy = x=fy })) = subst (λ k → fU (Uf x (subst (λ k → odef k x) (sym *iso) x₁)) k ≡ x) + ? be76 where + be77 : odef (* (& UC)) (Uf x (subst (λ k → odef k x) (sym *iso) x₁)) ≅ be08 (subst (λ k → odef k x) (sym *iso) x₁) + be77 = ? + be76 : fU (Uf x (subst (λ k → odef k x) (sym *iso) x₁)) (be08 (subst (λ k → odef k x) (sym *iso) x₁)) ≡ x + be76 = UC-iso1 x (subst (λ k → odef k x) (sym *iso) x₁) + -- ... | case1 c1 = ? -- trans ? (UC-iso1 x (subst (λ k → odef k x) (sym *iso) x₁)) + -- ... | case2 c2 = ⊥-elim ( c2 ? ) be72 x bx (case2 x₁) with cc10 bx (case2 x₁) ... | case1 c1 = ⊥-elim ( x₁ ? ) ... | case2 c2 = trans ? (a-UC-iso1 x ? )