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

annotate Todo @ 684:822fce8af579

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no transfinite on data Chain trichotomos
author Shinji KONO <kono@ie.u-ryukyu.ac.jp>
date Sun, 10 Jul 2022 08:10:34 +0900
parents 9984cdd88da3
children f4dac8be0a01
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423
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 338
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1 Sat Aug 1 13:16:53 JST 2020
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 338
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2
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 338
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3 P Generic Filter
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 338
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4 as a ZF model
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 338
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5 define Definition for L
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 338
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6
187
ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
diff changeset
7 Tue Jul 23 11:02:50 JST 2019
ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
diff changeset
8
423
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 338
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9 define cardinals ... done
187
ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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10 prove CH in OD→ZF
338
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 187
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11 define Ultra filter ... done
187
ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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12 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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13 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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14 prove ¬ CH on L N
ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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15 prove no choice function on L N
ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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16
148
6e767ad3edc2 give up
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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17 Mon Jul 8 19:43:37 JST 2019
6e767ad3edc2 give up
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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18
338
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 187
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19 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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20
6e767ad3edc2 give up
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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21 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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22 union, power set, replace, inifinite