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Theorem dvhvaddcbv 34728
 Description: Change bound variables to isolate them later. (Contributed by NM, 3-Nov-2013.)
Hypothesis
Ref Expression
dvhvaddval.a
Assertion
Ref Expression
dvhvaddcbv
Distinct variable groups:   ,,,,   ,,,,   ,,,,
Allowed substitution hints:   (,,,)

Proof of Theorem dvhvaddcbv
StepHypRef Expression
1 dvhvaddval.a . 2
2 fveq2 5879 . . . . 5
32coeq1d 5001 . . . 4
4 fveq2 5879 . . . . 5
54oveq1d 6323 . . . 4
63, 5opeq12d 4166 . . 3
7 fveq2 5879 . . . . 5
87coeq2d 5002 . . . 4
9 fveq2 5879 . . . . 5
109oveq2d 6324 . . . 4
118, 10opeq12d 4166 . . 3
126, 11cbvmpt2v 6390 . 2
131, 12eqtri 2493 1
 Colors of variables: wff setvar class Syntax hints:   wceq 1452  cop 3965   cxp 4837   ccom 4843  cfv 5589  (class class class)co 6308   cmpt2 6310  c1st 6810  c2nd 6811 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1677  ax-4 1690  ax-5 1766  ax-6 1813  ax-7 1859  ax-9 1913  ax-10 1932  ax-11 1937  ax-12 1950  ax-13 2104  ax-ext 2451  ax-sep 4518  ax-nul 4527  ax-pr 4639 This theorem depends on definitions:  df-bi 190  df-or 377  df-an 378  df-3an 1009  df-tru 1455  df-ex 1672  df-nf 1676  df-sb 1806  df-clab 2458  df-cleq 2464  df-clel 2467  df-nfc 2601  df-ne 2643  df-rex 2762  df-rab 2765  df-v 3033  df-dif 3393  df-un 3395  df-in 3397  df-ss 3404  df-nul 3723  df-if 3873  df-sn 3960  df-pr 3962  df-op 3966  df-uni 4191  df-br 4396  df-opab 4455  df-co 4848  df-iota 5553  df-fv 5597  df-ov 6311  df-oprab 6312  df-mpt2 6313 This theorem is referenced by:  dvhvaddval  34729
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