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Mirrors > Home > ILE Home > Th. List > mpteq2dv | Unicode version |
Description: An equality inference for the maps-to notation. (Contributed by Mario Carneiro, 23-Aug-2014.) |
Ref | Expression |
---|---|
mpteq2dv.1 |
Ref | Expression |
---|---|
mpteq2dv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpteq2dv.1 | . . 3 | |
2 | 1 | adantr 274 | . 2 |
3 | 2 | mpteq2dva 4013 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1331 wcel 1480 cmpt 3984 |
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 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-11 1484 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-ral 2419 df-opab 3985 df-mpt 3986 |
This theorem is referenced by: ofeq 5977 rdgeq1 6261 rdgeq2 6262 omv 6344 oeiv 6345 0tonninf 10205 1tonninf 10206 iseqf1olemjpcl 10261 iseqf1olemqpcl 10262 iseqf1olemfvp 10263 seq3f1olemqsum 10266 seq3f1olemp 10268 summodc 11145 zsumdc 11146 fsum3 11149 prodeq2w 11318 sloteq 11953 cnprcl2k 12364 fsumcncntop 12714 expcncf 12750 dvexp 12833 dvexp2 12834 peano4nninf 13189 peano3nninf 13190 nninfalllem1 13192 nninfsellemdc 13195 nninfsellemeq 13199 nninfsellemqall 13200 nninfsellemeqinf 13201 nninfomni 13204 |
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