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Mirrors > Home > ILE Home > Th. List > mpteq12dv | Unicode version |
Description: An equality inference for the maps-to notation. (Contributed by NM, 24-Aug-2011.) (Revised by Mario Carneiro, 16-Dec-2013.) |
Ref | Expression |
---|---|
mpteq12dv.1 | |
mpteq12dv.2 |
Ref | Expression |
---|---|
mpteq12dv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpteq12dv.1 | . 2 | |
2 | mpteq12dv.2 | . . 3 | |
3 | 2 | adantr 274 | . 2 |
4 | 1, 3 | mpteq12dva 4068 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1348 wcel 2141 cmpt 4048 |
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 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-11 1499 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-tru 1351 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-ral 2453 df-opab 4049 df-mpt 4050 |
This theorem is referenced by: mpteq12i 4075 offval 6066 offval3 6111 odzval 12188 restval 12578 ntrfval 12859 clsfval 12860 neifval 12899 cnpfval 12954 cnprcl2k 12965 reldvg 13407 dvfvalap 13409 eldvap 13410 |
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