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Mirrors > Home > ILE Home > Th. List > mpoeq3ia | Unicode version |
Description: An equality inference for the maps-to notation. (Contributed by Mario Carneiro, 16-Dec-2013.) |
Ref | Expression |
---|---|
mpoeq3ia.1 |
Ref | Expression |
---|---|
mpoeq3ia |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpoeq3ia.1 | . . . 4 | |
2 | 1 | 3adant1 1004 | . . 3 |
3 | 2 | mpoeq3dva 5897 | . 2 |
4 | 3 | mptru 1351 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wceq 1342 wtru 1343 wcel 2135 cmpo 5838 |
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-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-11 1493 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-3an 969 df-tru 1345 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-oprab 5840 df-mpo 5841 |
This theorem is referenced by: mpodifsnif 5926 mposnif 5927 oprab2co 6177 genpdf 7440 dfioo2 9901 iseqvalcbv 10382 divcnap 13096 |
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