Theorem 19.36v 1300

Description: Special case of Theorem 19.36 of [Margaris] p. 90.

Assertion

Ref	Expression
19.36v	|- (E.x(ph -> ps) <-> (A.xph -> ps))

Distinct variable group:   ps,x

Proof of Theorem 19.36v

Step	Hyp	Ref	Expression
1		ax-17 971	. 2 |- (ps -> A.xps)
2	1	19.36 1078	1 |- (E.x(ph -> ps) <-> (A.xph -> ps))

Syntax hints:   -> wi 3   <-> wb 146  A.wal 954  E.wex 980

This theorem is referenced by:  19.12vv 1302  axext 1460  vtocl2 1843  vtocl3 1844

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  ax-6o 978

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

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