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Theorem mpteq12i 3836
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  C
mpteq12i.2  D
Assertion
Ref Expression
mpteq12i  |->  C  |->  D

Proof of Theorem mpteq12i
StepHypRef Expression
1 mpteq12i.1 . . . 4  C
21a1i 9 . . 3  C
3 mpteq12i.2 . . . 4  D
43a1i 9 . . 3  D
52, 4mpteq12dv 3830 . 2  |->  C  |->  D
65trud 1251 1  |->  C  |->  D
Colors of variables: wff set class
Syntax hints:   wceq 1242   wtru 1243    |-> cmpt 3809
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 1333  ax-7 1334  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-11 1394  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424  ax-i5r 1425  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-tru 1245  df-nf 1347  df-sb 1643  df-clab 2024  df-cleq 2030  df-clel 2033  df-ral 2305  df-opab 3810  df-mpt 3811
This theorem is referenced by:  offres  5704
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