Theorem moexexv 1437

Description: "At most one" double quantification.

Assertion

Ref	Expression
moexexv	|- ((E*xph /\ A.xE*yps) -> E*yE.x(ph /\ ps))

Distinct variable group:   ph,y

Proof of Theorem moexexv

Step	Hyp	Ref	Expression
1		ax-17 969	. 2 |- (ph -> A.yph)
2	1	moexex 1436	1 |- ((E*xph /\ A.xE*yps) -> E*yE.x(ph /\ ps))

Syntax hints:   -> wi 3   /\ wa 223  A.wal 952  E.wex 978  E*wmo 1379

This theorem is referenced by:  mosub 1918  funco 3542  spwval2 8595

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-7 960  ax-gen 961  ax-8 962  ax-10 964  ax-11 965  ax-12 966  ax-17 969  ax-4 971  ax-5o 973  ax-6o 976  ax-9o 1121  ax-10o 1138  ax-16 1208  ax-11o 1216

This theorem depends on definitions:  df-bi 147  df-or 224  df-an 225  df-ex 979  df-sb 1170  df-eu 1380  df-mo 1381

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