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Mirrors > Home > ILE Home > Th. List > mpt2eq123i | Unicode version |
Description: An equality inference for the maps to notation. (Contributed by NM, 15-Jul-2013.) |
Ref | Expression |
---|---|
mpt2eq123i.1 | |
mpt2eq123i.2 | |
mpt2eq123i.3 |
Ref | Expression |
---|---|
mpt2eq123i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpt2eq123i.1 | . . . 4 | |
2 | 1 | a1i 9 | . . 3 |
3 | mpt2eq123i.2 | . . . 4 | |
4 | 3 | a1i 9 | . . 3 |
5 | mpt2eq123i.3 | . . . 4 | |
6 | 5 | a1i 9 | . . 3 |
7 | 2, 4, 6 | mpt2eq123dv 5587 | . 2 |
8 | 7 | trud 1293 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1284 wtru 1285 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-oprab 5536 df-mpt2 5537 |
This theorem is referenced by: ofmres 5783 |
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