Intuitionistic Logic Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  ILE Home  >  Th. List  >  oveqi Unicode version

Theorem oveqi 5793
 Description: Equality inference for operation value. (Contributed by NM, 24-Nov-2007.)
Hypothesis
Ref Expression
oveq1i.1
Assertion
Ref Expression
oveqi

Proof of Theorem oveqi
StepHypRef Expression
1 oveq1i.1 . 2
2 oveq 5786 . 2
31, 2ax-mp 5 1
 Colors of variables: wff set class Syntax hints:   wceq 1332  (class class class)co 5780 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 699  ax-5 1424  ax-7 1425  ax-gen 1426  ax-ie1 1470  ax-ie2 1471  ax-8 1483  ax-10 1484  ax-11 1485  ax-i12 1486  ax-bndl 1487  ax-4 1488  ax-17 1507  ax-i9 1511  ax-ial 1515  ax-i5r 1516  ax-ext 2122 This theorem depends on definitions:  df-bi 116  df-tru 1335  df-nf 1438  df-sb 1737  df-clab 2127  df-cleq 2133  df-clel 2136  df-nfc 2271  df-rex 2423  df-uni 3743  df-br 3936  df-iota 5094  df-fv 5137  df-ov 5783 This theorem is referenced by:  oveq123i  5794  iseqvalcbv  10259  blres  12635  cncfmet  12780
 Copyright terms: Public domain W3C validator