Theorem ee02 16590

Description: e02 16589 without virtual deductions.

Hypotheses

Ref	Expression
ee02.1	|- ph
ee02.2	|- (ps -> (ch -> th))
ee02.3	|- (ph -> (th -> ta))

Assertion

Ref	Expression
ee02	|- (ps -> (ch -> ta))

Proof of Theorem ee02

Step	Hyp	Ref	Expression
1		ee02.1	. . . 4 |- ph
2	1	a1i 8	. . 3 |- (ch -> ph)
3	2	a1i 8	. 2 |- (ps -> (ch -> ph))
4		ee02.2	. 2 |- (ps -> (ch -> th))
5		ee02.3	. 2 |- (ph -> (th -> ta))
6	3, 4, 5	ee22 1272	1 |- (ps -> (ch -> ta))

Syntax hints:   -> wi 3

This theorem is referenced by:  ee02an 16592

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

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