Theorem 19.36v 1295

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-17 968	. 2 |- (ps -> A.xps)
2	1	19.36 1074	1 |- (E.x(ph -> ps) <-> (A.xph -> ps))

Syntax hints:   -> wi 3   <-> wb 146  A.wal 951  E.wex 977

This theorem is referenced by:  19.12vv 1297  axext 1453  vtocl2 1834  vtocl3 1835

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  ax-6o 975

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

Copyright terms: Public domain