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Theorem feq23 5194
 Description: Equality theorem for functions. (Contributed by FL, 14-Jul-2007.) (Proof shortened by Andrew Salmon, 17-Sep-2011.)
Assertion
Ref Expression
feq23

Proof of Theorem feq23
StepHypRef Expression
1 feq2 5192 . 2
2 feq3 5193 . 2
31, 2sylan9bb 453 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 103   wb 104   wceq 1299  wf 5055 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1391  ax-7 1392  ax-gen 1393  ax-ie1 1437  ax-ie2 1438  ax-8 1450  ax-11 1452  ax-4 1455  ax-17 1474  ax-i9 1478  ax-ial 1482  ax-i5r 1483  ax-ext 2082 This theorem depends on definitions:  df-bi 116  df-nf 1405  df-sb 1704  df-clab 2087  df-cleq 2093  df-clel 2096  df-in 3027  df-ss 3034  df-fn 5062  df-f 5063 This theorem is referenced by:  feq23i  5203
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