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Mirrors > Home > ILE Home > Th. List > abid | Unicode version |
Description: Simplification of class abstraction notation when the free and bound variables are identical. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
abid |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-clab 2127 |
. 2
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2 | sbid 1748 |
. 2
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3 | 1, 2 | bitri 183 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-4 1488 ax-17 1507 ax-i9 1511 |
This theorem depends on definitions: df-bi 116 df-sb 1737 df-clab 2127 |
This theorem is referenced by: abeq2 2249 abeq2i 2251 abeq1i 2252 abeq2d 2253 abid2f 2307 elabgt 2829 elabgf 2830 ralab2 2852 rexab2 2854 sbccsbg 3036 sbccsb2g 3037 ss2ab 3170 abn0r 3392 abn0m 3393 tpid3g 3646 eluniab 3756 elintab 3790 iunab 3867 iinab 3882 intexabim 4085 iinexgm 4087 opm 4164 finds2 4523 dmmrnm 4766 sniota 5123 eusvobj2 5768 eloprabga 5866 indpi 7174 elabgf0 13155 |
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