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Theorem pm10.14 26922
Description: Theorem *10.14 in [WhiteheadRussell] p. 146. (Contributed by Andrew Salmon, 17-Jun-2011.)
Assertion
Ref Expression
pm10.14  |-  ( ( A. x ph  /\  A. x ps )  -> 
( [ y  /  x ] ph  /\  [
y  /  x ] ps ) )

Proof of Theorem pm10.14
StepHypRef Expression
1 stdpc4 1897 . 2  |-  ( A. x ph  ->  [ y  /  x ] ph )
2 stdpc4 1897 . 2  |-  ( A. x ps  ->  [ y  /  x ] ps )
31, 2anim12i 551 1  |-  ( ( A. x ph  /\  A. x ps )  -> 
( [ y  /  x ] ph  /\  [
y  /  x ] ps ) )
Colors of variables: wff set class
Syntax hints:    -> wi 6    /\ wa 360   A.wal 1532   [wsb 1883
This theorem was proved from axioms:  ax-1 7  ax-2 8  ax-3 9  ax-mp 10  ax-5 1533  ax-gen 1536  ax-9 1684  ax-4 1692
This theorem depends on definitions:  df-bi 179  df-an 362  df-ex 1538  df-sb 1884
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