Theorem pm3.3 257

Description: Theorem *3.3 (Exp) of [WhiteheadRussell] p. 112. (Contributed by NM, 3-Jan-2005.) (Proof shortened by Wolf Lammen, 24-Mar-2013.)

Assertion

Ref	Expression
pm3.3	|- ( ( ( ph /\ ps ) -> ch ) -> ( ph -> ( ps -> ch ) ) )

Proof of Theorem pm3.3

Step	Hyp	Ref	Expression
1		id 19	. 2 |- ( ( ( ph /\ ps ) -> ch ) -> ( ( ph /\ ps ) -> ch ) )
2	1	expd 254	1 |- ( ( ( ph /\ ps ) -> ch ) -> ( ph -> ( ps -> ch ) ) )

Syntax hints:   -> wi 4   /\ wa 102

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia3 106

This theorem is referenced by:  impexp  259  pm3.37  826  pm4.79dc  847  sbi2v  1820