Mercurial > hg > Members > kono > Proof > ZF-in-agda
diff zf.agda @ 324:fbabb20f222e
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author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
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date | Sat, 04 Jul 2020 18:18:17 +0900 |
parents | 6f10c47e4e7a |
children | 17adeeee0c2a |
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--- a/zf.agda Sat Jul 04 12:53:40 2020 +0900 +++ b/zf.agda Sat Jul 04 18:18:17 2020 +0900 @@ -49,7 +49,7 @@ -- extensionality : ∀ z ( z ∈ x ⇔ z ∈ y ) ⇒ ∀ w ( x ∈ w ⇔ y ∈ w ) extensionality : { A B w : ZFSet } → ( (z : ZFSet) → ( A ∋ z ) ⇔ (B ∋ z) ) → ( A ∈ w ⇔ B ∈ w ) -- regularity without minimum - ε-induction : { ψ : ZFSet → Set (suc m)} + ε-induction : { ψ : ZFSet → Set m} → ( {x : ZFSet } → ({ y : ZFSet } → x ∋ y → ψ y ) → ψ x ) → (x : ZFSet ) → ψ x -- infinity : ∃ A ( ∅ ∈ A ∧ ∀ x ∈ A ( x ∪ { x } ∈ A ) )