Theorem 19.36aiv 1822

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 1461	. 2 |- F/ x ps
2		19.36aiv.1	. 2 |- E. x ( ph -> ps )
3	1, 2	19.36i 1602	1 |- ( A. x ph -> ps )

Syntax hints:   -> wi 4   A.wal 1282   E.wex 1421

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-5 1376  ax-gen 1378  ax-ie1 1422  ax-ie2 1423  ax-4 1440  ax-17 1459  ax-ial 1467

This theorem depends on definitions:  df-bi 115  df-nf 1390

This theorem is referenced by:  vtocl2  2654  vtocl3  2655