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Theorem sbf2 2119
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 1806 . 2  |-  F/ x A. x ph
21sbf 2117 1  |-  ( [ y  /  x ] A. x ph  <->  A. x ph )
Colors of variables: wff set class
Syntax hints:    <-> wb 177   A.wal 1549   [wsb 1658
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-6 1744  ax-11 1761  ax-12 1950
This theorem depends on definitions:  df-bi 178  df-an 361  df-ex 1551  df-nf 1554  df-sb 1659
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