Theorem ee10 16586

Description: e10 16585 without virtual deductions.

Hypotheses

Ref	Expression
ee10.1	|- (ph -> ps)
ee10.2	|- ch
ee10.3	|- (ps -> (ch -> th))

Assertion

Ref	Expression
ee10	|- (ph -> th)

Proof of Theorem ee10

Step	Hyp	Ref	Expression
1		ee10.1	. 2 |- (ph -> ps)
2		ee10.2	. . 3 |- ch
3	2	a1i 8	. 2 |- (ph -> ch)
4		ee10.3	. 2 |- (ps -> (ch -> th))
5	1, 3, 4	ee11 1268	1 |- (ph -> th)

Syntax hints:   -> wi 3

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

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