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Theorem sbcbidv 2811
Description: Formula-building deduction rule for class substitution. (Contributed by NM, 29-Dec-2014.)
Hypothesis
Ref Expression
sbcbidv.1
Assertion
Ref Expression
sbcbidv  [.  ].  [.  ].
Distinct variable group:   ,
Allowed substitution hints:   ()   ()   ()

Proof of Theorem sbcbidv
StepHypRef Expression
1 nfv 1418 . 2  F/
2 sbcbidv.1 . 2
31, 2sbcbid 2810 1  [.  ].  [.  ].
Colors of variables: wff set class
Syntax hints:   wi 4   wb 98   [.wsbc 2758
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1333  ax-7 1334  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-11 1394  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424  ax-i5r 1425  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-tru 1245  df-nf 1347  df-sb 1643  df-clab 2024  df-cleq 2030  df-clel 2033  df-sbc 2759
This theorem is referenced by:  sbcbii  2812  csbcomg  2867  opelopabsb  3988  opelopabf  4002  sbcfng  4987  sbcfg  4988
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