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Theorem neeqtri 2755
Description: Substitution of equal classes into an inequality. (Contributed by NM, 4-Jul-2012.)
Hypotheses
Ref Expression
neeqtr.1
neeqtr.2
Assertion
Ref Expression
neeqtri

Proof of Theorem neeqtri
StepHypRef Expression
1 neeqtr.1 . 2
2 neeqtr.2 . . 3
32neeq2i 2744 . 2
41, 3mpbi 208 1
Colors of variables: wff setvar class
Syntax hints:  =wceq 1395  =/=wne 2652
This theorem is referenced by:  neeqtrri  2756
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-ext 2435
This theorem depends on definitions:  df-bi 185  df-cleq 2449  df-ne 2654
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