Theorem spvwOLD 1695

Description: Obsolete version of spvw 1666 as of 4-Dec-2017. (Contributed by NM, 10-Apr-2017.) (New usage is discouraged.) (Proof modification is discouraged.)

Assertion

Ref	Expression
spvwOLD	|- (A.xph -> ph)

Distinct variable group:   ph,x

Proof of Theorem spvwOLD

Dummy variable y is distinct from all other variables.

Step	Hyp	Ref	Expression
1		biidd 228	. 2 |- (x = y -> (ph <-> ph))
2	1	spw 1694	1 |- (A.xph -> ph)

This proof depends on syntax axioms:   -> wi 4  A.wal 1540

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675

This proof depends on definitions:  df-bi 177  df-an 360  df-ex 1542

This theorem is used by: (None)