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

Theorem oveq 5773
 Description: Equality theorem for operation value. (Contributed by NM, 28-Feb-1995.)
Assertion
Ref Expression
oveq

Proof of Theorem oveq
StepHypRef Expression
1 fveq1 5413 . 2
2 df-ov 5770 . 2
3 df-ov 5770 . 2
41, 2, 33eqtr4g 2195 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1331  cop 3525  cfv 5118  (class class class)co 5767 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 698  ax-5 1423  ax-7 1424  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-10 1483  ax-11 1484  ax-i12 1485  ax-bndl 1486  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515  ax-ext 2119 This theorem depends on definitions:  df-bi 116  df-tru 1334  df-nf 1437  df-sb 1736  df-clab 2124  df-cleq 2130  df-clel 2133  df-nfc 2268  df-rex 2420  df-uni 3732  df-br 3925  df-iota 5083  df-fv 5126  df-ov 5770 This theorem is referenced by:  oveqi  5780  oveqd  5784  ovmpodf  5895  ovmpodv2  5897  mapxpen  6735  ispsmet  12481  ismet  12502  isxmet  12503
 Copyright terms: Public domain W3C validator