Theorem 19.27v 1298

Description: Theorem 19.27 of [Margaris] p. 90.

Assertion

Ref	Expression
19.27v	|- (A.x(ph /\ ps) <-> (A.xph /\ ps))

Distinct variable group:   ps,x

Proof of Theorem 19.27v

Step	Hyp	Ref	Expression
1		ax-17 971	. 2 |- (ps -> A.xps)
2	1	19.27 1069	1 |- (A.x(ph /\ ps) <-> (A.xph /\ ps))

Syntax hints:   <-> wb 146   /\ wa 223  A.wal 954

This theorem is referenced by:  r19.27av 1754

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 963  ax-17 971  ax-4 973  ax-5o 975

This theorem depends on definitions:  df-bi 147  df-an 225

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