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Theorem funeqd 4866
Description: Equality deduction for the function predicate. (Contributed by NM, 23-Feb-2013.)
Hypothesis
Ref Expression
funeqd.1
Assertion
Ref Expression
funeqd  Fun  Fun

Proof of Theorem funeqd
StepHypRef Expression
1 funeqd.1 . 2
2 funeq 4864 . 2  Fun  Fun
31, 2syl 14 1  Fun  Fun
Colors of variables: wff set class
Syntax hints:   wi 4   wb 98   wceq 1242   Fun wfun 4839
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-io 629  ax-5 1333  ax-7 1334  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-10 1393  ax-11 1394  ax-i12 1395  ax-bndl 1396  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-nf 1347  df-sb 1643  df-clab 2024  df-cleq 2030  df-clel 2033  df-nfc 2164  df-in 2918  df-ss 2925  df-br 3756  df-opab 3810  df-rel 4295  df-cnv 4296  df-co 4297  df-fun 4847
This theorem is referenced by:  funopg  4877  funsng  4889  funcnvuni  4911  f1eq1  5030
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