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Theorem mpt2v 5594
 Description: Operation with universal domain in maps-to notation. (Contributed by NM, 16-Aug-2013.)
Assertion
Ref Expression
mpt2v
Distinct variable groups:   ,   ,   ,
Allowed substitution hints:   (,)

Proof of Theorem mpt2v
StepHypRef Expression
1 df-mpt2 5517 . 2
2 vex 2560 . . . . 5
3 vex 2560 . . . . 5
42, 3pm3.2i 257 . . . 4
54biantrur 287 . . 3
65oprabbii 5560 . 2
71, 6eqtr4i 2063 1
 Colors of variables: wff set class Syntax hints:   wa 97   wceq 1243   wcel 1393  cvv 2557  coprab 5513   cmpt2 5514 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-11 1397  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428  ax-ext 2022 This theorem depends on definitions:  df-bi 110  df-tru 1246  df-nf 1350  df-sb 1646  df-clab 2027  df-cleq 2033  df-clel 2036  df-v 2559  df-oprab 5516  df-mpt2 5517 This theorem is referenced by: (None)
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