Theorem euorv 1401

Description: Introduce a disjunct into a uniqueness quantifier.

Assertion

Ref	Expression
euorv	|- ((-. ph /\ E!xps) -> E!x(ph \/ ps))

Distinct variable group:   ph,x

Proof of Theorem euorv

Step	Hyp	Ref	Expression
1		ax-17 973	. 2 |- (ph -> A.xph)
2	1	euor 1400	1 |- ((-. ph /\ E!xps) -> E!x(ph \/ ps))

Syntax hints:  -. wn 2   -> wi 3   \/ wo 222   /\ wa 223  E!weu 1382

This theorem is referenced by:  eueq2 1921  eueq3 1922

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 965  ax-17 973  ax-4 975  ax-5o 977  ax-6o 980

This theorem depends on definitions:  df-bi 147  df-or 224  df-an 225  df-ex 983  df-eu 1384

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