Mercurial > hg > Members > kono > Proof > ZF-in-agda

annotate Todo @ 1283:f4dac8be0a01

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author Shinji KONO <kono@ie.u-ryukyu.ac.jp>
date Sat, 13 May 2023 10:53:32 +0900
parents 9984cdd88da3
children 171c3f3cdc6b
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1283
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 423
diff changeset
1 Sat May 13 10:51:35 JST 2023
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 423
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2
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 423
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3 use Filter (ZFP (Proj1 (ZFP PQ)) (Proj2 (ZFP PQ)) for projection of Ultra filter
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 423
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4 tranfinite induciton on well-founded set
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 423
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5
423
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 338
diff changeset
6 Sat Aug 1 13:16:53 JST 2020
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 338
diff changeset
7
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 338
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8 P Generic Filter
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 338
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9 as a ZF model
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 338
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10 define Definition for L
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 338
diff changeset
11
187
ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
diff changeset
12 Tue Jul 23 11:02:50 JST 2019
ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
diff changeset
13
423
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 338
diff changeset
14 define cardinals ... done
187
ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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15 prove CH in OD→ZF
338
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 187
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16 define Ultra filter ... done
187
ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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17 define L M : ZF ZFSet = M is an OD
ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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18 define L N : ZF ZFSet = N = G M (G is a generic fitler on M )
ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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19 prove ¬ CH on L N
ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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20 prove no choice function on L N
ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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21
148
6e767ad3edc2 give up
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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22 Mon Jul 8 19:43:37 JST 2019
6e767ad3edc2 give up
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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23
338
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 187
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24 ordinal-definable.agda assumes all ZF Set are ordinals, that it too restrictive ... fixed
148
6e767ad3edc2 give up
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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25
6e767ad3edc2 give up
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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26 remove ord-Ord and prove with some assuption in HOD.agda
6e767ad3edc2 give up
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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27 union, power set, replace, inifinite