Mathbox for Norm Megill < Previous   Next > Nearby theorems Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  dvhvaddcbv Structured version   Unicode version

 Description: Change bound variables to isolate them later. (Contributed by NM, 3-Nov-2013.)
Hypothesis
Ref Expression
Assertion
Ref Expression
Distinct variable groups:   ,,,,   ,,,,   ,,,,
Allowed substitution hints:   (,,,)

StepHypRef Expression
2 fveq2 5720 . . . . 5
32coeq1d 5026 . . . 4
4 fveq2 5720 . . . . 5
54oveq1d 6088 . . . 4
63, 5opeq12d 3984 . . 3
7 fveq2 5720 . . . . 5
87coeq2d 5027 . . . 4
9 fveq2 5720 . . . . 5
109oveq2d 6089 . . . 4
118, 10opeq12d 3984 . . 3
126, 11cbvmpt2v 6144 . 2
131, 12eqtri 2455 1
 Colors of variables: wff set class Syntax hints:   wceq 1652  cop 3809   cxp 4868   ccom 4874  cfv 5446  (class class class)co 6073   cmpt2 6075  c1st 6339  c2nd 6340 This theorem is referenced by:  dvhvaddval  31815 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-14 1729  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2416  ax-sep 4322  ax-nul 4330  ax-pr 4395 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-3an 938  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2422  df-cleq 2428  df-clel 2431  df-nfc 2560  df-ne 2600  df-rex 2703  df-rab 2706  df-v 2950  df-dif 3315  df-un 3317  df-in 3319  df-ss 3326  df-nul 3621  df-if 3732  df-sn 3812  df-pr 3813  df-op 3815  df-uni 4008  df-br 4205  df-opab 4259  df-co 4879  df-iota 5410  df-fv 5454  df-ov 6076  df-oprab 6077  df-mpt2 6078
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