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Theorem mpteq12i 4016
 Description: An equality inference for the maps-to notation. (Contributed by Scott Fenton, 27-Oct-2010.) (Revised by Mario Carneiro, 16-Dec-2013.)
Hypotheses
Ref Expression
mpteq12i.1
mpteq12i.2
Assertion
Ref Expression
mpteq12i

Proof of Theorem mpteq12i
StepHypRef Expression
1 mpteq12i.1 . . . 4
21a1i 9 . . 3
3 mpteq12i.2 . . . 4
43a1i 9 . . 3
52, 4mpteq12dv 4010 . 2
65mptru 1340 1
 Colors of variables: wff set class Syntax hints:   wceq 1331   wtru 1332   cmpt 3989 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 2121 This theorem depends on definitions:  df-bi 116  df-tru 1334  df-nf 1437  df-sb 1736  df-clab 2126  df-cleq 2132  df-clel 2135  df-ral 2421  df-opab 3990  df-mpt 3991 This theorem is referenced by:  offres  6033
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