Metamath Proof Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  MPE Home  >  Th. List  >  fveq12i Structured version   Unicode version

Theorem fveq12i 5736
 Description: Equality deduction for function value. (Contributed by FL, 27-Jun-2014.)
Hypotheses
Ref Expression
fveq12i.1
fveq12i.2
Assertion
Ref Expression
fveq12i

Proof of Theorem fveq12i
StepHypRef Expression
1 fveq12i.1 . . 3
21fveq1i 5732 . 2
3 fveq12i.2 . . 3
43fveq2i 5734 . 2
52, 4eqtri 2458 1
 Colors of variables: wff set class Syntax hints:   wceq 1653  cfv 5457 This theorem is referenced by:  cats1fvn  11827  sadcadd  12975  sadadd2  12977  kur14lem5  24901 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2419 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-3an 939  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-clab 2425  df-cleq 2431  df-clel 2434  df-nfc 2563  df-rex 2713  df-rab 2716  df-v 2960  df-dif 3325  df-un 3327  df-in 3329  df-ss 3336  df-nul 3631  df-if 3742  df-sn 3822  df-pr 3823  df-op 3825  df-uni 4018  df-br 4216  df-iota 5421  df-fv 5465
 Copyright terms: Public domain W3C validator