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Theorem equsb1 1778
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 1760 . 2  |-  ( A. x ( x  =  y  ->  x  =  y )  ->  [ y  /  x ] x  =  y )
2 id 19 . 2  |-  ( x  =  y  ->  x  =  y )
31, 2mpg 1444 1  |-  [ y  /  x ] x  =  y
Colors of variables: wff set class
Syntax hints:    -> wi 4   [wsb 1755
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 1440  ax-gen 1442  ax-ie1 1486  ax-ie2 1487  ax-4 1503  ax-i9 1523  ax-ial 1527
This theorem depends on definitions:  df-bi 116  df-sb 1756
This theorem is referenced by:  sbcocom  1963  elsb1  2148  elsb2  2149  pm13.183  2868  exss  4210  relelfvdm  5526
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