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Theorem sbf2 1751
Description: Substitution has no effect on a bound variable. (Contributed by NM, 1-Jul-2005.)
Assertion
Ref Expression
sbf2  |-  ( [ y  /  x ] A. x ph  <->  A. x ph )

Proof of Theorem sbf2
StepHypRef Expression
1 nfa1 1521 . 2  |-  F/ x A. x ph
21sbf 1750 1  |-  ( [ y  /  x ] A. x ph  <->  A. x ph )
Colors of variables: wff set class
Syntax hints:    <-> wb 104   A.wal 1329   [wsb 1735
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-5 1423  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-4 1487  ax-i9 1510  ax-ial 1514
This theorem depends on definitions:  df-bi 116  df-nf 1437  df-sb 1736
This theorem is referenced by: (None)
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