Mercurial > hg > Members > kono > Proof > ZF-in-agda
diff README.md @ 1200:42000f20fdbe
fix README
author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
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date | Wed, 01 Mar 2023 16:34:41 +0900 |
parents | a5f8084b8368 |
children | 003424a36fed |
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--- a/README.md Wed Mar 01 10:42:05 2023 +0900 +++ b/README.md Wed Mar 01 16:34:41 2023 +0900 @@ -5,22 +5,41 @@ ## ZF in Agda -``` - zf.agda axiom of ZF - zfc.agda axiom of choice - Ordinals.agda axiom of Ordinals - ordinal.agda countable model of Ordinals - OD.agda model of ZF based on Ordinal Definable Set with assumptions - ODC.agda Law of exclude middle from axiom of choice assumptions - LEMC.agda model of choice with assumption of the Law of exclude middle - OPair.agda ordered pair on OD +[zfc](https://shinji-kono.github.io/zf-in-agda/html/zfc.html) axiom of choice + +[NSet](https://shinji-kono.github.io/zf-in-agda/html/NSet.html) Naive Set Theory + +[Ordinals](https://shinji-kono.github.io/zf-in-agda/html/Ordinals.html) axiom of Ordinals + +[OD](https://shinji-kono.github.io/zf-in-agda/html/OD.html) a model of ZF based on Ordinal Definable Set with assumptions + +[ODC](https://shinji-kono.github.io/zf-in-agda/html/ODC.html) Law of exclude middle from axiom of choice assumptions + +[LEMC](https://shinji-kono.github.io/zf-in-agda/html/LEMC.html) choice with assumption of the Law of exclude middle + +[BAlgebra](https://shinji-kono.github.io/zf-in-agda/html/BAlgebra.html) Boolean algebra on OD (not yet done) + +[zorn](https://shinji-kono.github.io/zf-in-agda/html/zorn.html) Zorn lemma + +[Topology](https://shinji-kono.github.io/zf-in-agda/html/Topology.html) Topology - BAlgbra.agda Boolean algebra on OD (not yet done) - filter.agda Filter on OD (not yet done) - cardinal.agda Caedinal number on OD (not yet done) +[Tychonoff](https://shinji-kono.github.io/zf-in-agda/html/Tychonoff.html) + +[VL](https://shinji-kono.github.io/zf-in-agda/html/VL.html) V and L + +[cardinal](https://shinji-kono.github.io/zf-in-agda/html/cardinal.html) Cardinals + +[filter](https://shinji-kono.github.io/zf-in-agda/html/filter.html) Filter - logic.agda some basics on logic - nat.agda some basics on Nat +[generic-filter](https://shinji-kono.github.io/zf-in-agda/html/generic-filter.html) Generic Filter + +[maximum-filter](https://shinji-kono.github.io/zf-in-agda/html/maximum-filter.html) Maximum filter by Zorn lemma + +[ordinal](https://shinji-kono.github.io/zf-in-agda/html/ordinal.html) countable model of Ordinals + +[OPair](https://shinji-kono.github.io/zf-in-agda/html/OPair.html) Orderd Pair and Direct Product + + ``` ## Ordinal Definable Set