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Theorem equsb1 1796
Description: Substitution applied to an atomic wff. (Contributed by NM, 5-Aug-1993.)
Assertion
Ref Expression
equsb1  |-  [ y  /  x ] x  =  y

Proof of Theorem equsb1
StepHypRef Expression
1 sb2 1778 . 2  |-  ( A. x ( x  =  y  ->  x  =  y )  ->  [ y  /  x ] x  =  y )
2 id 19 . 2  |-  ( x  =  y  ->  x  =  y )
31, 2mpg 1462 1  |-  [ y  /  x ] x  =  y
Colors of variables: wff set class
Syntax hints:    -> wi 4   [wsb 1773
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-5 1458  ax-gen 1460  ax-ie1 1504  ax-ie2 1505  ax-4 1521  ax-i9 1541  ax-ial 1545
This theorem depends on definitions:  df-bi 117  df-sb 1774
This theorem is referenced by:  sbcocom  1982  elsb1  2167  elsb2  2168  pm13.183  2890  exss  4242  relelfvdm  5562
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