Mercurial > hg > Members > kono > Proof > ZF-in-agda
changeset 421:cb067605fea0
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author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
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date | Fri, 31 Jul 2020 17:54:52 +0900 |
parents | 53422a8ea836 |
children | 44a484f17f26 |
files | cardinal.agda |
diffstat | 1 files changed, 12 insertions(+), 16 deletions(-) [+] |
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--- a/cardinal.agda Fri Jul 31 17:42:25 2020 +0900 +++ b/cardinal.agda Fri Jul 31 17:54:52 2020 +0900 @@ -48,20 +48,16 @@ → odef (FuncP A B) (od→ord (Replace A (λ x → < x , f x > ))) FuncP∋f = {!!} -Func→f : {A B f x : HOD} → def Func (od→ord f) → (x : HOD ) → A ∋ x → ( HOD ∧ ((y : HOD ) → B ∋ y )) -Func→f = {!!} - -Func₁ : {A B f : HOD} → def Func (od→ord f) → {!!} -Func₁ = {!!} - -Cod : {A B f : HOD} → def Func (od→ord f) → {!!} -Cod = {!!} - -1-1 : {A B f : HOD} → def Func (od→ord f) → {!!} -1-1 = {!!} - -onto : {A B f : HOD} → def Func (od→ord f) → {!!} -onto = {!!} +-- Func→f : {A B f x : HOD} → def Func (od→ord f) → (x : HOD ) → A ∋ x → ( HOD ∧ ((y : HOD ) → B ∋ y )) +-- Func→f = {!!} +-- Func₁ : {A B f : HOD} → def Func (od→ord f) → {!!} +-- Func₁ = {!!} +-- Cod : {A B f : HOD} → def Func (od→ord f) → {!!} +-- Cod = {!!} +-- 1-1 : {A B f : HOD} → def Func (od→ord f) → {!!} +-- 1-1 = {!!} +-- onto : {A B f : HOD} → def Func (od→ord f) → {!!} +-- onto = {!!} record Bijection (A B : Ordinal ) : Set n where field @@ -69,8 +65,8 @@ fun← : Ordinal → Ordinal fun→inA : (x : Ordinal) → odef (ord→od A) ( fun→ x ) fun←inB : (x : Ordinal) → odef (ord→od B) ( fun← x ) - fiso→ : (x : Ordinal ) → odef (ord→od A) x → fun→ ( fun← x ) ≡ x - fiso← : (x : Ordinal ) → odef (ord→od B) x → fun← ( fun→ x ) ≡ x + fiso→ : (x : Ordinal ) → odef (ord→od B) x → fun→ ( fun← x ) ≡ x + fiso← : (x : Ordinal ) → odef (ord→od A) x → fun← ( fun→ x ) ≡ x Card : OD Card = record { def = λ x → (a : Ordinal) → a o< x → ¬ Bijection a x }