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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  6336  fisupg  7059  winalim2  8272  aalioulem5  19664  musum  20379  chrelat2i  22891  relin01  23446  waj-ax  24214  sssu  24494  pm11.71  26949  onfrALTlem2  27348  19.41rg  27353  onfrALTlem2VD  27699  2pm13.193VD  27713  a9e2eqVD  27717  bnj1173  28065  hlrelat2  28743
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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