Theorem 19.37v 1298

Description: Special case of Theorem 19.37 of [Margaris] p. 90.

Assertion

Ref	Expression
19.37v	|- (E.x(ph -> ps) <-> (ph -> E.xps))

Distinct variable group:   ph,x

Proof of Theorem 19.37v

Step	Hyp	Ref	Expression
1		ax-17 968	. 2 |- (ph -> A.xph)
2	1	19.37 1076	1 |- (E.x(ph -> ps) <-> (ph -> E.xps))

Syntax hints:   -> wi 3   <-> wb 146  E.wex 977

This theorem is referenced by:  19.37aiv 1299  moanim 1420  ssiun 2582  iununi 2606  axrep5 2688  bnd 4695  kmlem14 4750  kmlem15 4751  hmphre 10417

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 960  ax-17 968  ax-4 970  ax-5o 972

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

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