Theorem pm3.4 544

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 447	. 2 |- ((ph /\ ps) -> ps)
2	1	a1d 22	1 |- ((ph /\ ps) -> (ph -> ps))

This proof depends on syntax axioms:   -> wi 4   /\ wa 358

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This proof depends on definitions:  df-bi 177  df-an 360

This theorem is used by:  sbequ1  1918