Theorem 19.37aiv 1684

Description: Inference from Theorem 19.37 of [Margaris] p. 90.

Hypothesis

Ref	Expression
19.37aiv.1	|- E.x(ph -> ps)

Assertion

Ref	Expression
19.37aiv	|- (ph -> E.xps)

Distinct variable group:   ph,x

Proof of Theorem 19.37aiv

Step	Hyp	Ref	Expression
1		19.37aiv.1	. 2 |- E.x(ph -> ps)
2		19.37v 1683	. 2 |- (E.x(ph -> ps) <-> (ph -> E.xps))
3	1, 2	mpbi 206	1 |- (ph -> E.xps)

Syntax hints:   -> wi 3  E.wex 1326

This theorem is referenced by:  eqvinc 2387  iserzexi 8406  bnj1093 13411  bnj1186 13449  domleqt 15020

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 1305  ax-17 1317  ax-4 1319  ax-5o 1321

This theorem depends on definitions:  df-bi 164  df-an 242  df-ex 1327

Copyright terms: Public domain