Theorem ee03an 16611

Description: Conjunction form of ee03 16609.

Hypotheses

Ref	Expression
ee03an.1	|- ph
ee03an.2	|- (ps -> (ch -> (th -> ta)))
ee03an.3	|- ((ph /\ ta) -> et)

Assertion

Ref	Expression
ee03an	|- (ps -> (ch -> (th -> et)))

Proof of Theorem ee03an

Step	Hyp	Ref	Expression
1		ee03an.1	. 2 |- ph
2		ee03an.2	. 2 |- (ps -> (ch -> (th -> ta)))
3		ee03an.3	. . 3 |- ((ph /\ ta) -> et)
4	3	ex 402	. 2 |- (ph -> (ta -> et))
5	1, 2, 4	ee03 16609	1 |- (ps -> (ch -> (th -> et)))

Syntax hints:   -> wi 3   /\ wa 240

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