Theorem 19.35ri 1073

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 1071	. 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 951  E.wex 977

This theorem is referenced by:  qexmid 1117  axrep1 2684  axextnd 4915  axinfnd 4930

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 960  ax-4 970  ax-5o 972

This theorem depends on definitions:  df-bi 147  df-an 225  df-ex 978

Copyright terms: Public domain