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Theorem pm3.2 138
Description: Join antecedents with conjunction. Theorem *3.2 of [WhiteheadRussell] p. 111. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 12-Nov-2012.) (Proof shortened by Jia Ming, 17-Nov-2020.)
Assertion
Ref Expression
pm3.2  |-  ( ph  ->  ( ps  ->  ( ph  /\  ps ) ) )

Proof of Theorem pm3.2
StepHypRef Expression
1 ax-ia3 107 1  |-  ( ph  ->  ( ps  ->  ( ph  /\  ps ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 103
This theorem was proved from axioms:  ax-ia3 107
This theorem is referenced by:  pm3.21  262  pm3.2i  270  pm3.43i  271  ibar  299  jca  304  jcad  305  ancl  316  imnan  664  pm3.2an3  1145  19.29  1584  r19.26  2535  r19.29  2546  difrab  3320  dmcosseq  4780  lediv2a  8617  ssfzo12  9956  r19.29uz  10719
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