Theorem 19.37v 1303

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-17 971	. 2 |- (ph -> A.xph)
2	1	19.37 1080	1 |- (E.x(ph -> ps) <-> (ph -> E.xps))

Syntax hints:   -> wi 3   <-> wb 146  E.wex 980

This theorem is referenced by:  19.37aiv 1304  moanim 1427  ssiun 2590  iununi 2614  axrep5 2696  bnd 4711  kmlem14 4766  kmlem15 4767  hmphre 10472

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 963  ax-17 971  ax-4 973  ax-5o 975

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

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