Theorem pm3.2

Description: Join antecedents with conjunction ("conjunction introduction"). Theorem *3.2 of WhiteheadRussell p. 111. Its associated inference is pm3.2i and its associated deduction is jca (and the double deduction is jcad ). See pm3.2im for a version using only implication and negation. (Contributed by NM, 5-Jan-1993) (Proof shortened by Wolf Lammen, 12-Nov-2012)

	Ref	Expression
Assertion	pm3.2	|- ( ph -> ( ps -> ( ph /\ ps ) ) )

Proof

Step	Hyp	Ref	Expression
1		id	|- ( ( ph /\ ps ) -> ( ph /\ ps ) )
2	1	ex	|- ( ph -> ( ps -> ( ph /\ ps ) ) )