Theorem 19.36aiv 1957

Description: Inference from Theorem 19.36 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.)

Hypothesis

Ref	Expression
19.36aiv.1	|- E. x ( ph -> ps )

Assertion

Ref	Expression
19.36aiv	|- ( A. x ph -> ps )

Distinct variable group:   ps, x

Allowed substitution hint:   ph( x)

Proof of Theorem 19.36aiv

Step	Hyp	Ref	Expression
1		nfv 1581	. 2 |- F/ x ps
2		19.36aiv.1	. 2 |- E. x ( ph -> ps )
3	1, 2	19.36i 1724	1 |- ( A. x ph -> ps )

Syntax hints:   -> wi 4   A.wal 1400   E.wex 1545

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-5 1500  ax-gen 1502  ax-ie1 1546  ax-ie2 1547  ax-4 1563  ax-17 1579  ax-ial 1587

This theorem depends on definitions:  df-bi 117  df-nf 1514

This theorem is referenced by:  vtocl2  2878  vtocl3  2879