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Theorem nelcon3d 2806
Description: Contrapositive law deduction for negated membership. (Contributed by AV, 28-Jan-2020.)
Hypothesis
Ref Expression
nelcon3d.1
Assertion
Ref Expression
nelcon3d

Proof of Theorem nelcon3d
StepHypRef Expression
1 nelcon3d.1 . . 3
21con3d 133 . 2
3 df-nel 2655 . 2
4 df-nel 2655 . 2
52, 3, 43imtr4g 270 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  e.wcel 1818  e/wnel 2653
This theorem is referenced by:  isnmgm  15876  mgmplusfreseq  32461
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 185  df-nel 2655
  Copyright terms: Public domain W3C validator