Theorem pm3.21 284

Description: Join antecedents with conjunction. Theorem *3.21 of [WhiteheadRussell] p. 111.

Assertion

Ref	Expression
pm3.21	|- (ph -> (ps -> (ps /\ ph)))

Proof of Theorem pm3.21

Step	Hyp	Ref	Expression
1		pm3.2 283	. 2 |- (ps -> (ph -> (ps /\ ph)))
2	1	com12 11	1 |- (ph -> (ps -> (ps /\ ph)))

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  pm3.37 286  ancr 295  anc2r 301  pm5.31 360  chrelat2 10292

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 147  df-an 225

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