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Mirrors > Home > ILE Home > Th. List > mpt2eq12 | Unicode version |
Description: An equality theorem for the maps to notation. (Contributed by Mario Carneiro, 16-Dec-2013.) |
Ref | Expression |
---|---|
mpt2eq12 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqid 2081 | . . . . 5 | |
2 | 1 | rgenw 2418 | . . . 4 |
3 | 2 | jctr 308 | . . 3 |
4 | 3 | ralrimivw 2435 | . 2 |
5 | mpt2eq123 5584 | . 2 | |
6 | 4, 5 | sylan2 280 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wceq 1284 wral 2348 cmpt2 5534 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-11 1437 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-tru 1287 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-ral 2353 df-oprab 5536 df-mpt2 5537 |
This theorem is referenced by: iseqeq1 9434 iseqeq4 9437 |
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