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Theorem rmo2i 3133
Description: Condition implying restricted "at most one." (Contributed by NM, 17-Jun-2017.)
Hypothesis
Ref Expression
rmo2.1  F/
Assertion
Ref Expression
rmo2i
Distinct variable group:   ,,
Allowed substitution hints:   (,)

Proof of Theorem rmo2i
StepHypRef Expression
1 rexex 2674 . 2
2 rmo2.1 . . 3  F/
32rmo2 3132 . 2
41, 3sylibr 203 1
Colors of variables: wff setvar class
Syntax hints:   wi 4  wex 1541   F/wnf 1544  wral 2615  wrex 2616  wrmo 2618
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  df-ral 2620  df-rex 2621  df-rmo 2623
This theorem is referenced by: (None)
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