Theorem moor 1422

Description: "At most one" is still the case when a disjunct is removed.

Assertion

Ref	Expression
moor	|- (E*x(ph \/ ps) -> E*xph)

Proof of Theorem moor

Step	Hyp	Ref	Expression
1		orc 269	. 2 |- (ph -> (ph \/ ps))
2	1	immoi 1416	1 |- (E*x(ph \/ ps) -> E*xph)

Syntax hints:   -> wi 3   \/ wo 222  E*wmo 1379

This theorem is referenced by:  mooran2 1424  euor2 1435

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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