NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  necon3d Unicode version

Theorem necon3d 2554
Description: Contrapositive law deduction for inequality. (Contributed by NM, 10-Jun-2006.)
Hypothesis
Ref Expression
necon3d.1
Assertion
Ref Expression
necon3d

Proof of Theorem necon3d
StepHypRef Expression
1 necon3d.1 . . 3
21necon3ad 2552 . 2
3 df-ne 2518 . 2
42, 3syl6ibr 218 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4   wceq 1642   wne 2516
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-ne 2518
This theorem is referenced by:  necon3i  2555  pm13.18  2588  ssn0  3583  pssdifn0  3611  uniintsn  3963  evenodddisj  4516  sfinltfin  4535  leltctr  6212  nnltp1c  6262
  Copyright terms: Public domain W3C validator