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Theorem mpteq2da 3837
Description: Slightly more general equality inference for the maps to notation. (Contributed by FL, 14-Sep-2013.) (Revised by Mario Carneiro, 16-Dec-2013.)
Hypotheses
Ref Expression
mpteq2da.1  F/
mpteq2da.2  C
Assertion
Ref Expression
mpteq2da  |->  |->  C

Proof of Theorem mpteq2da
StepHypRef Expression
1 eqid 2037 . . 3
21ax-gen 1335 . 2
3 mpteq2da.1 . . 3  F/
4 mpteq2da.2 . . . 4  C
54ex 108 . . 3  C
63, 5ralrimi 2384 . 2  C
7 mpteq12f 3828 . 2  C  |->  |->  C
82, 6, 7sylancr 393 1  |->  |->  C
Colors of variables: wff set class
Syntax hints:   wi 4   wa 97  wal 1240   wceq 1242   F/wnf 1346   wcel 1390  wral 2300    |-> 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:  mpteq2dva  3838
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