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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 (∃*x(φ ψ) → ∃*xφ)

Proof of Theorem moor
StepHypRef Expression
1 orc 374 . 2 (φ → (φ ψ))
21moimi 2251 1 (∃*x(φ ψ) → ∃*xφ)
Colors of variables: wff setvar class
Syntax hints:  wi 4   wo 357  ∃*wmo 2205
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 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
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