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Theorem neeq2d 2530
Description: Deduction for inequality. (Contributed by NM, 25-Oct-1999.)
Hypothesis
Ref Expression
neeq1d.1 (φA = B)
Assertion
Ref Expression
neeq2d (φ → (CACB))

Proof of Theorem neeq2d
StepHypRef Expression
1 neeq1d.1 . 2 (φA = B)
2 neeq2 2525 . 2 (A = B → (CACB))
31, 2syl 15 1 (φ → (CACB))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 176   = 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:  neeq12d  2531  neeqtrd  2538  evenodddisj  4516
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