Theorem a4sd 683

Description: Deduction generalizing antecedent.

Hypothesis

Ref	Expression
a4sd.1	|- (ph -> (ps -> ch))

Assertion

Ref	Expression
a4sd	|- (ph -> (A.xps -> ch))

Proof of Theorem a4sd

Step	Hyp	Ref	Expression
1		a4sd.1	. 2 |- (ph -> (ps -> ch))
2		ax-4 673	. 2 |- (A.xps -> ps)
3	1, 2	syl5 22	1 |- (ph -> (A.xps -> ch))

Syntax hints:   -> wi 2  A.wal 672

This theorem is referenced by:  moexex 1058  zornlem4 3606  zornlem5 3607  axpowndlem3 3745  axacndlem5 3757  suppsr3 4018

This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-mp 6  ax-4 673

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