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Theorem pm3.21 260
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 pm3.2 137 . 2  |-  ( ps 
->  ( ph  ->  ( ps  /\  ph ) ) )
21com12 30 1  |-  ( ph  ->  ( ps  ->  ( ps  /\  ph ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 102
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia3 106
This theorem is referenced by:  pm3.22  261  iba  294  ancr  314  anc2r  321  pm5.31  340  xoranor  1313  19.41h  1620  19.41  1621  ltsopr  7153  bj-findis  11829
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