Theorem euorv 1438

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 1007	. 2 |- (ph -> A.xph)
2	1	euor 1437	1 |- ((-. ph /\ E!xps) -> E!x(ph \/ ps))

Syntax hints:  -. wn 2   -> wi 3   \/ wo 220   /\ wa 221  E!weu 1419

This theorem is referenced by:  eueq2 1964  eueq3 1965

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 999  ax-17 1007  ax-4 1009  ax-5o 1011  ax-6o 1014

This theorem depends on definitions:  df-bi 145  df-or 222  df-an 223  df-ex 1017  df-eu 1421

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