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Mirrors > Home > ILE Home > Th. List > mpteq12dva | Unicode version |
Description: An equality inference for the maps to notation. (Contributed by Mario Carneiro, 26-Jan-2017.) |
Ref | Expression |
---|---|
mpteq12dv.1 | |
mpteq12dva.2 |
Ref | Expression |
---|---|
mpteq12dva |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpteq12dv.1 | . . 3 | |
2 | 1 | alrimiv 1795 | . 2 |
3 | mpteq12dva.2 | . . 3 | |
4 | 3 | ralrimiva 2434 | . 2 |
5 | mpteq12f 3858 | . 2 | |
6 | 2, 4, 5 | syl2anc 403 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wal 1282 wceq 1284 wcel 1433 wral 2348 cmpt 3839 |
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-ral 2353 df-opab 3840 df-mpt 3841 |
This theorem is referenced by: mpteq12dv 3860 |
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