Theorem expdimp 426

Description: A deduction version of exportation, followed by importation. (Contributed by NM, 6-Sep-2008.)

Hypothesis

Ref	Expression
exp3a.1	|- (ph -> ((ps /\ ch) -> th))

Assertion

Ref	Expression
expdimp	|- ((ph /\ ps) -> (ch -> th))

Proof of Theorem expdimp

Step	Hyp	Ref	Expression
1		exp3a.1	. . 3 |- (ph -> ((ps /\ ch) -> th))
2	1	exp3a 425	. 2 |- (ph -> (ps -> (ch -> th)))
3	2	imp 418	1 |- ((ph /\ ps) -> (ch -> th))

Syntax hints:   -> wi 4   /\ wa 358

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 177  df-an 360

This theorem is referenced by:  rexlimdvv  2745  ralcom2  2776  reu6  3026  preaddccan2  4456  ltfinasym  4461  lenltfin  4470  vfinspsslem1  4551  phi11lem1  4596  fun11iun  5306  erth  5969  ltlenlec  6208  leltctr  6213  tlecg  6231