Theorem 19.35ri 1602

Description: Inference from Theorem 19.35 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.)

Hypothesis

Ref	Expression
19.35ri.1	|- (A.xph -> E.xps)

Assertion

Ref	Expression
19.35ri	|- E.x(ph -> ps)

Proof of Theorem 19.35ri

Step	Hyp	Ref	Expression
1		19.35ri.1	. 2 |- (A.xph -> E.xps)
2		19.35 1600	. 2 |- (E.x(ph -> ps) <-> (A.xph -> E.xps))
3	1, 2	mpbir 200	1 |- E.x(ph -> ps)

Syntax hints:   -> wi 4  A.wal 1540  E.wex 1541

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557

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

This theorem is referenced by:  exiftruOLD  1658  qexmid  1886