Mercurial > hg > Members > kono > Proof > ZF-in-agda

changeset 316:c030a9655e79

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author Shinji KONO <kono@ie.u-ryukyu.ac.jp>
date Fri, 03 Jul 2020 16:51:44 +0900
parents 35e1214fa093
children 57df07b63cae
files OD.agda
diffstat 1 files changed, 2 insertions(+), 2 deletions(-) [+]
line wrap: on
line diff
--- a/OD.agda	Fri Jul 03 16:50:19 2020 +0900
+++ b/OD.agda	Fri Jul 03 16:51:44 2020 +0900
@@ -445,7 +445,7 @@
               lemmab : od→ord (ZFSubset (Ord (od→ord A)) (ord→od (od→ord (Ord (od→ord A) )))) o< sup1
               lemmab = sup-o< (Ord (osuc (od→ord (Ord (od→ord A))))) lemma9 
               lemmad : Ord (osuc (od→ord A)) ∋ t
-              lemmad = subst (λ k → k o< osuc (od→ord A)) {!!} {!!} -- ( ⊆→o≤ {ord→od (od→ord t)} {ord→od (od→ord (Ord (od→ord t)))} (λ {x} lt → {!!} ) )
+              lemmad = {!!}
               lemmac : ZFSubset (Ord (od→ord A)) (ord→od (od→ord (Ord (od→ord A) ))) =h= Ord (od→ord A)
               lemmac = record { eq→ = {!!} ; eq← = {!!} }
               lemmae : od→ord (ZFSubset (Ord (od→ord A)) (ord→od (od→ord (Ord (od→ord A))))) ≡ od→ord (Ord (od→ord A))
@@ -453,7 +453,7 @@
               lemma7 : def (od (OPwr (Ord (od→ord A)))) (od→ord t)
               lemma7 with osuc-≡< lemmad
               lemma7 | case2 lt = ordtrans (c<→o< lt) (subst (λ k → k o< sup1) lemmae lemmab )
-              lemma7 | case1 eq with osuc-≡< lemmad 
+              lemma7 | case1 eq with osuc-≡< (⊆→o≤ {ord→od (od→ord t)} {ord→od (od→ord (Ord (od→ord t)))} (λ {x} lt → {!!} ))
               lemma7 | case1 eq | case1 eq1 = subst (λ k → k o< sup1) (trans lemmae {!!}) lemmab -- od→ord (Ord (od→ord A)) ≡ od→ord t
               lemma7 | case1 eq | case2 lt = ordtrans {!!} (subst (λ k → k o< sup1) lemmae lemmab ) 
               lemma1 : od→ord t o< sup-o (OPwr (Ord (od→ord A))) (λ x lt → od→ord (A ∩ (ord→od x)))