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Theorem nfsbc1v 3065
Description: Bound-variable hypothesis builder for class substitution. (Contributed by Mario Carneiro, 12-Oct-2016.)
Assertion
Ref Expression
nfsbc1v xA / xφ
Distinct variable group:   x,A
Allowed substitution hint:   φ(x)

Proof of Theorem nfsbc1v
StepHypRef Expression
1 nfcv 2489 . 2 xA
21nfsbc1 3064 1 xA / xφ
Colors of variables: wff setvar class
Syntax hints:  wnf 1544  wsbc 3046
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-sbc 3047
This theorem is referenced by:  elrabsf  3084  cbvralcsf  3198
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