Theorem pm3.35 340

Description: Conjunctive detachment. Theorem *3.35 of [WhiteheadRussell] p. 112. (Contributed by NM, 14-Dec-2002.)

Assertion

Ref	Expression
pm3.35	|- ( ( ph /\ ( ph -> ps ) ) -> ps )

Proof of Theorem pm3.35

Step	Hyp	Ref	Expression
1		pm2.27 40	. 2 |- ( ph -> ( ( ph -> ps ) -> ps ) )
2	1	imp 123	1 |- ( ( ph /\ ( ph -> ps ) ) -> ps )

Syntax hints:   -> wi 4   /\ wa 103

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106

This theorem is referenced by:  xordc1  1330  19.35-1  1561  ax9o  1634  sbequ8  1776  r19.29af2  2509  r19.29vva  2514  r19.35-1  2518  intab  3723