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Theorem eqnetrrd 2536
Description: Substitution of equal classes into an inequality. (Contributed by NM, 4-Jul-2012.)
Hypotheses
Ref Expression
eqnetrrd.1
eqnetrrd.2
Assertion
Ref Expression
eqnetrrd

Proof of Theorem eqnetrrd
StepHypRef Expression
1 eqnetrrd.1 . . 3
21eqcomd 2358 . 2
3 eqnetrrd.2 . 2
42, 3eqnetrd 2534 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wceq 1642   wne 2516
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-11 1746  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-ex 1542  df-cleq 2346  df-ne 2518
This theorem is referenced by:  tfinltfinlem1  4500  vinf  4555
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