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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 (𝜑 → (𝜓 → (𝜑𝜓)))

Proof of Theorem pm3.2
StepHypRef Expression
1 ax-ia3 107 1 (𝜑 → (𝜓 → (𝜑𝜓)))
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  679  pm3.2an3  1160  19.29  1599  r19.26  2558  r19.29  2569  difrab  3350  dmcosseq  4810  lediv2a  8660  ssfzo12  10008  r19.29uz  10771
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