Theorem moor 1424

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 1418	1 |- (E*x(ph \/ ps) -> E*xph)

Syntax hints:   -> wi 3   \/ wo 222  E*wmo 1381

This theorem is referenced by:  mooran2 1426  euor2 1437

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-7 962  ax-gen 963  ax-8 964  ax-10 966  ax-11 967  ax-12 968  ax-17 971  ax-4 973  ax-5o 975  ax-6o 978  ax-9o 1123  ax-10o 1140  ax-16 1210  ax-11o 1218

This theorem depends on definitions:  df-bi 147  df-or 224  df-an 225  df-ex 981  df-sb 1172  df-eu 1382  df-mo 1383

Copyright terms: Public domain