Theorem pm3.4 326

Description: Conjunction implies implication. Theorem *3.4 of [WhiteheadRussell] p. 113. (Contributed by NM, 31-Jul-1995.)

Assertion

Ref	Expression
pm3.4	|- ( ( ph /\ ps ) -> ( ph -> ps ) )

Proof of Theorem pm3.4

Step	Hyp	Ref	Expression
1		simpr 108	. 2 |- ( ( ph /\ ps ) -> ps )
2	1	a1d 22	1 |- ( ( ph /\ ps ) -> ( ph -> ps ) )

Syntax hints:   -> wi 4   /\ wa 102

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia2 105

This theorem is referenced by:  dcim  822  pclem6  1310  sbequ1  1698  sbequ8  1775  en2lp  4368