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Theorem pm3.21 251
Description: Join antecedents with conjunction. Theorem *3.21 of [WhiteheadRussell] p. 111. (Contributed by NM, 5-Aug-1993.)
Assertion
Ref Expression
pm3.21 (𝜑 → (𝜓 → (𝜓𝜑)))

Proof of Theorem pm3.21
StepHypRef Expression
1 pm3.2 126 . 2 (𝜓 → (𝜑 → (𝜓𝜑)))
21com12 27 1 (𝜑 → (𝜓 → (𝜓𝜑)))
Colors of variables: wff set class
Syntax hints:  wi 4  wa 97
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia3 101
This theorem is referenced by:  pm3.22  252  iba  284  ancr  304  anc2r  311  pm5.31  330  xoranor  1268  19.41h  1575  19.41  1576  ltsopr  6694  bj-findis  10104
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