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Theorem rmoimia 3300
Description: Restricted "at most one" is preserved through implication (note wff reversal). (Contributed by Alexander van der Vekens, 17-Jun-2017.)
Hypothesis
Ref Expression
rmoimia.1
Assertion
Ref Expression
rmoimia

Proof of Theorem rmoimia
StepHypRef Expression
1 rmoim 3299 . 2
2 rmoimia.1 . 2
31, 2mprg 2820 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  e.wcel 1818  E*wrmo 2810
This theorem is referenced by:  rmoimi  32181  2reu1  32191
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-12 1854
This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617  df-eu 2286  df-mo 2287  df-ral 2812  df-rmo 2815
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