Theorem 19.35ri 756

Description: Inference from Theorem 19.35 of [Margaris] p. 90.

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		19.35 754	. 2 |- (E.x(ph -> ps) <-> (A.xph -> E.xps))
3	1, 2	mpbir 165	1 |- E.x(ph -> ps)

Syntax hints:   -> wi 2  A.wal 672  E.wex 678

This theorem is referenced by:  qexmid 796  axrep 1473  axextnd 3737  axinfnd 3752

This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-3 5  ax-mp 6  ax-4 673  ax-5 674  ax-gen 677

This theorem depends on definitions:  df-bi 128  df-an 198  df-ex 679

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