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

annotate Todo @ 224:afc864169325

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recover ε-induction
author Shinji KONO <kono@ie.u-ryukyu.ac.jp>
date Sat, 10 Aug 2019 12:31:25 +0900
parents ac872f6b8692
children bca043423554
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ac872f6b8692 add Todo
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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1 Tue Jul 23 11:02:50 JST 2019
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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2
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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3 define cardinals
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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4 prove CH in OD→ZF
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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5 define Ultra filter
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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6 define L M : ZF ZFSet = M is an OD
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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7 define L N : ZF ZFSet = N = G M (G is a generic fitler on M )
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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8 prove ¬ CH on L N
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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9 prove no choice function on L N
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 148
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10
148
6e767ad3edc2 give up
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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11 Mon Jul 8 19:43:37 JST 2019
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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12
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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13 ordinal-definable.agda assumes all ZF Set are ordinals, that it too restrictive
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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14
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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15 remove ord-Ord and prove with some assuption in HOD.agda
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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16 union, power set, replace, inifinite