Theorem ee02an 16592

Description: e02an 16591 without virtual deductions.

Hypotheses

Ref	Expression
ee02an.1	|- ph
ee02an.2	|- (ps -> (ch -> th))
ee02an.3	|- ((ph /\ th) -> ta)

Assertion

Ref	Expression
ee02an	|- (ps -> (ch -> ta))

Proof of Theorem ee02an

Step	Hyp	Ref	Expression
1		ee02an.1	. 2 |- ph
2		ee02an.2	. 2 |- (ps -> (ch -> th))
3		ee02an.3	. . 3 |- ((ph /\ th) -> ta)
4	3	ex 402	. 2 |- (ph -> (th -> ta))
5	1, 2, 4	ee02 16590	1 |- (ps -> (ch -> ta))

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

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