Theorem 19.35ri 1077

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 1075	. 2 |- (E.x(ph -> ps) <-> (A.xph -> E.xps))
3	1, 2	mpbir 190	1 |- E.x(ph -> ps)

Syntax hints:   -> wi 3  A.wal 954  E.wex 980

This theorem is referenced by:  qexmid 1121  axrep1 2694  axextnd 4943  axinfnd 4958

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 963  ax-4 973  ax-5o 975

This theorem depends on definitions:  df-bi 147  df-an 225  df-ex 981

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