Theorem 19.37aiv 1306

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 1305	. 2 |- (E.x(ph -> ps) <-> (ph -> E.xps))
3	1, 2	mpbi 189	1 |- (ph -> E.xps)

Syntax hints:   -> wi 3  E.wex 982

This theorem is referenced by:  iserzex 7146

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 965  ax-17 973  ax-4 975  ax-5o 977

This theorem depends on definitions:  df-bi 147  df-an 225  df-ex 983

Copyright terms: Public domain