Theorem 19.23bi 1580

Description: Inference from Theorem 19.23 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.)

Hypothesis

Ref	Expression
19.23bi.1	|- ( E. x ph -> ps )

Assertion

Ref	Expression
19.23bi	|- ( ph -> ps )

Proof of Theorem 19.23bi

Step	Hyp	Ref	Expression
1		19.8a 1578	. 2 |- ( ph -> E. x ph )
2		19.23bi.1	. 2 |- ( E. x ph -> ps )
3	1, 2	syl 14	1 |- ( ph -> ps )

Syntax hints:   -> wi 4   E.wex 1480

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-gen 1437  ax-ie1 1481  ax-ie2 1482  ax-4 1498

This theorem depends on definitions:  df-bi 116

This theorem is referenced by:  mo2icl  2905  copsexg  4222