Theorem 19.9v 1882

Description: Special case of Theorem 19.9 of [Margaris] p. 89. (Contributed by NM, 28-May-1995.) (Revised by NM, 21-May-2007.)

Assertion

Ref	Expression
19.9v	|- ( E. x ph <-> ph )

Distinct variable group:   ph, x

Proof of Theorem 19.9v

Step	Hyp	Ref	Expression
1		ax-17 1537	. 2 |- ( ph -> A. x ph )
2	1	19.9h 1654	1 |- ( E. x ph <-> ph )

Syntax hints:   <-> wb 105   E.wex 1503

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-gen 1460  ax-ie1 1504  ax-ie2 1505  ax-4 1521  ax-17 1537

This theorem depends on definitions:  df-bi 117

This theorem is referenced by:  spc2gv  2851  spc3gv  2853  mo2icl  2939  brtpos2  6304