Theorem pm3.4 584

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 477	. 2 |- ( ( ph /\ ps ) -> ps )
2	1	a1d 25	1 |- ( ( ph /\ ps ) -> ( ph -> ps ) )

Syntax hints:   -> wi 4   /\ wa 384

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386

This theorem is referenced by:  cases2  993  sbequ1  2110  bj-sbsb  32824  jabtaib  41099  confun4  41109  plvcofphax  41114  afvres  41252