Theorem a4sd 982

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-4 970	. 2 |- (A.xps -> ps)
3	1, 2	syl5 21	1 |- (ph -> (A.xps -> ch))

Syntax hints:   -> wi 3  A.wal 951

This theorem is referenced by:  19.20 991  moexex 1431  zorn2lem4 4763  zorn2lem5 4764  axpowndlem3 4923  axacndlem5 4935  suppsr3 5196

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-mp 7  ax-4 970

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