diff OD.agda @ 342:b1ccdbb14c92

...
author Shinji KONO <kono@ie.u-ryukyu.ac.jp>
date Mon, 13 Jul 2020 13:55:46 +0900
parents 27d2933c4bd7
children 34e71402d579
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line diff
--- a/OD.agda	Mon Jul 13 13:29:38 2020 +0900
+++ b/OD.agda	Mon Jul 13 13:55:46 2020 +0900
@@ -396,7 +396,7 @@
             lemmab : {x  : HOD} → od→ord (x , x) o< next (od→ord x)
             lemmab {x} = subst (λ k → od→ord (x , x) o< k ) lemmab0 lemmab1  where
                lemmab0 : next (odmax (x , x)) ≡ next (od→ord x)
-               lemmab0 = {!!}
+               lemmab0 = trans (cong (λ k → next k) (omxx _)) (sym nexto≡)
                lemmab1 : od→ord (x , x) o< next ( odmax (x , x))
                lemmab1 = ho< 
             lemmac : {x y : HOD} → od→ord x o< od→ord y → od→ord (x , y) o< od→ord (y , y) 
@@ -408,7 +408,7 @@
             lemma91 : od→ord (ord→od y) o< od→ord (ord→od y , ord→od y)
             lemma91 = c<→o< (case1 refl) 
             lemma9 : od→ord (ord→od y , (ord→od y , ord→od y)) o< next (od→ord (ord→od y , ord→od y))
-            lemma9 = lemmaa {!!}
+            lemma9 = lemmaa (c<→o< (case1 refl))
             lemma71 : od→ord (ord→od y , (ord→od y , ord→od y)) o< next (od→ord (ord→od y))
             lemma71 = next< lemma81 lemma9
             lemma1 : od→ord (u y) o< next (osuc (od→ord (ord→od y , (ord→od y , ord→od y))))