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Theorem moimi 2251
 Description: "At most one" is preserved through implication (notice wff reversal). (Contributed by NM, 15-Feb-2006.)
Hypothesis
Ref Expression
immoi.1 (φψ)
Assertion
Ref Expression
moimi (∃*xψ∃*xφ)

Proof of Theorem moimi
StepHypRef Expression
1 moim 2250 . 2 (x(φψ) → (∃*xψ∃*xφ))
2 immoi.1 . 2 (φψ)
31, 2mpg 1548 1 (∃*xψ∃*xφ)
 Colors of variables: wff setvar class Syntax hints:   → wi 4  ∃*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:  moan  2255  moor  2257  mooran1  2258  mooran2  2259  2moex  2275  2euex  2276  2exeu  2281  2eu1  2284  nfunsn  5353  caovmo  5645
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