Theorem pm3.3 375

Description: Theorem *3.3 (Exp) of [WhiteheadRussell] p. 112.

Assertion

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

Proof of Theorem pm3.3

Step	Hyp	Ref	Expression
1		impexp 374	. 2 |- (((ph /\ ps) -> ch) <-> (ph -> (ps -> ch)))
2	1	biimpi 168	1 |- (((ph /\ ps) -> ch) -> (ph -> (ps -> ch)))

Syntax hints:   -> wi 3   /\ wa 240

This theorem is referenced by:  pm5.3OLD 495  trsbc 5843  trer 15361  frminex 15773  simplbi2VD 16670  exbirVD 16677  exbiriVD 16678  3impexpVD 16680  trsbcVD 16701

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 164  df-an 242

Copyright terms: Public domain