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Theorem pm3.21 437
Description: Join antecedents with conjunction. Theorem *3.21 of [WhiteheadRussell] p. 111. (Contributed by NM, 5-Aug-1993.)
Assertion
Ref Expression
pm3.21  |-  ( ph  ->  ( ps  ->  ( ps  /\  ph ) ) )

Proof of Theorem pm3.21
StepHypRef Expression
1 pm3.2 436 . 2  |-  ( ps 
->  ( ph  ->  ( ps  /\  ph ) ) )
21com12 29 1  |-  ( ph  ->  ( ps  ->  ( ps  /\  ph ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 6    /\ wa 360
This theorem is referenced by:  pm3.22  438  iba  491  ancr  534  anc2r  541  pm5.31  574  19.41  1799  2mo  2194  smoord  6315  fisupg  7038  winalim2  8251  aalioulem5  19643  musum  20358  chrelat2i  22870  relin01  23425  waj-ax  24193  sssu  24473  pm11.71  26928  onfrALTlem2  27327  19.41rg  27332  onfrALTlem2VD  27678  2pm13.193VD  27692  a9e2eqVD  27696  bnj1173  28044  hlrelat2  28722
This theorem was proved from axioms:  ax-1 7  ax-2 8  ax-3 9  ax-mp 10
This theorem depends on definitions:  df-bi 179  df-an 362
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