Mercurial > hg > Members > kono > Proof > ZF-in-agda
comparison 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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3 | 3 |
4 Shinji KONO (kono@ie.u-ryukyu.ac.jp), University of the Ryukyus | 4 Shinji KONO (kono@ie.u-ryukyu.ac.jp), University of the Ryukyus |
5 | 5 |
6 ## ZF in Agda | 6 ## ZF in Agda |
7 | 7 |
8 ``` | 8 [zfc](https://shinji-kono.github.io/zf-in-agda/html/zfc.html) axiom of choice |
9 zf.agda axiom of ZF | |
10 zfc.agda axiom of choice | |
11 Ordinals.agda axiom of Ordinals | |
12 ordinal.agda countable model of Ordinals | |
13 OD.agda model of ZF based on Ordinal Definable Set with assumptions | |
14 ODC.agda Law of exclude middle from axiom of choice assumptions | |
15 LEMC.agda model of choice with assumption of the Law of exclude middle | |
16 OPair.agda ordered pair on OD | |
17 | 9 |
18 BAlgbra.agda Boolean algebra on OD (not yet done) | 10 [NSet](https://shinji-kono.github.io/zf-in-agda/html/NSet.html) Naive Set Theory |
19 filter.agda Filter on OD (not yet done) | |
20 cardinal.agda Caedinal number on OD (not yet done) | |
21 | 11 |
22 logic.agda some basics on logic | 12 [Ordinals](https://shinji-kono.github.io/zf-in-agda/html/Ordinals.html) axiom of Ordinals |
23 nat.agda some basics on Nat | 13 |
14 [OD](https://shinji-kono.github.io/zf-in-agda/html/OD.html) a model of ZF based on Ordinal Definable Set with assumptions | |
15 | |
16 [ODC](https://shinji-kono.github.io/zf-in-agda/html/ODC.html) Law of exclude middle from axiom of choice assumptions | |
17 | |
18 [LEMC](https://shinji-kono.github.io/zf-in-agda/html/LEMC.html) choice with assumption of the Law of exclude middle | |
19 | |
20 [BAlgebra](https://shinji-kono.github.io/zf-in-agda/html/BAlgebra.html) Boolean algebra on OD (not yet done) | |
21 | |
22 [zorn](https://shinji-kono.github.io/zf-in-agda/html/zorn.html) Zorn lemma | |
23 | |
24 [Topology](https://shinji-kono.github.io/zf-in-agda/html/Topology.html) Topology | |
25 | |
26 [Tychonoff](https://shinji-kono.github.io/zf-in-agda/html/Tychonoff.html) | |
27 | |
28 [VL](https://shinji-kono.github.io/zf-in-agda/html/VL.html) V and L | |
29 | |
30 [cardinal](https://shinji-kono.github.io/zf-in-agda/html/cardinal.html) Cardinals | |
31 | |
32 [filter](https://shinji-kono.github.io/zf-in-agda/html/filter.html) Filter | |
33 | |
34 [generic-filter](https://shinji-kono.github.io/zf-in-agda/html/generic-filter.html) Generic Filter | |
35 | |
36 [maximum-filter](https://shinji-kono.github.io/zf-in-agda/html/maximum-filter.html) Maximum filter by Zorn lemma | |
37 | |
38 [ordinal](https://shinji-kono.github.io/zf-in-agda/html/ordinal.html) countable model of Ordinals | |
39 | |
40 [OPair](https://shinji-kono.github.io/zf-in-agda/html/OPair.html) Orderd Pair and Direct Product | |
41 | |
42 | |
24 ``` | 43 ``` |
25 | 44 |
26 ## Ordinal Definable Set | 45 ## Ordinal Definable Set |
27 | 46 |
28 It is a predicate has an Ordinal argument. | 47 It is a predicate has an Ordinal argument. |