# HG changeset patch # User Shinji KONO # Date 1569197799 -32400 # Node ID 2e75710a936bd4f05eb7258a112551c7675c3a3e # Parent 53744836020b818adad619682860627fd4ccfaf6 ... diff -r 53744836020b -r 2e75710a936b ordinal.agda --- a/ordinal.agda Sun Sep 22 20:26:32 2019 +0900 +++ b/ordinal.agda Mon Sep 23 09:16:39 2019 +0900 @@ -261,10 +261,10 @@ caseOSuc lx ox prev = {!!} continuum-hyphotheis : (a : Ordinal) → (x : OD) → _⊆_ (Power (Ord a)) (Ord (osuc a)) {x} - continuum-hyphotheis a x lt = lemma where - lemma : Ord (osuc a) ∋ x - lemma with IsZF.power→ isZF (Ord a) x lt {{!!}} {!!} - ... | t = {!!} - - - + continuum-hyphotheis a x = lemma2 where + lemma1 : sup-o (λ x₁ → od→ord (ZFSubset (Ord a) (ord→od x₁))) o< osuc a + lemma1 = {!!} + lemma : _⊆_ (Def (Ord a)) (Ord (osuc a)) {x} + lemma = o<→c< lemma1 + lemma2 : _⊆_ (Power (Ord a)) (Ord (osuc a)) {x} + lemma2 = {!!}