Theorem hba2 1012

Description: Lemma 24 of [Monk2] p. 114.

Assertion

Ref	Expression
hba2	|- (A.yA.xph -> A.xA.yA.xph)

Proof of Theorem hba2

Step	Hyp	Ref	Expression
1		hba1 1002	. 2 |- (A.xph -> A.xA.xph)
2	1	hbal 1004	1 |- (A.yA.xph -> A.xA.yA.xph)

Syntax hints:   -> wi 3  A.wal 953

This theorem is referenced by:  fnoprabg 4009  axacndlem4 4949  axacnd 4951

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-mp 7  ax-7 961  ax-gen 962  ax-4 972  ax-5o 974

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