Theorem moor 2257

Description: "At most one" is still the case when a disjunct is removed. (Contributed by NM, 5-Apr-2004.)

Assertion

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

Proof of Theorem moor

Step	Hyp	Ref	Expression
1		orc 374	. 2 |- (ph -> (ph \/ ps))
2	1	moimi 2251	1 |- (E*x(ph \/ ps) -> E*xph)

Syntax hints:   -> wi 4   \/ wo 357  E*wmo 2205

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925

This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-eu 2208  df-mo 2209

This theorem is referenced by:  mooran2  2259