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Theorem rmoan 3034
Description: Restricted "at most one" still holds when a conjunct is added. (Contributed by NM, 16-Jun-2017.)
Assertion
Ref Expression
rmoan

Proof of Theorem rmoan
StepHypRef Expression
1 moan 2255 . . 3
2 an12 772 . . . 4
32mobii 2240 . . 3
41, 3sylib 188 . 2
5 df-rmo 2622 . 2
6 df-rmo 2622 . 2
74, 5, 63imtr4i 257 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358   wcel 1710  wmo 2205  wrmo 2617
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-rmo 2622
This theorem is referenced by: (None)
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