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Theorem necomd 2599
Description: Deduction from commutative law for inequality. (Contributed by NM, 12-Feb-2008.)
Hypothesis
Ref Expression
necomd.1 (φAB)
Assertion
Ref Expression
necomd (φBA)

Proof of Theorem necomd
StepHypRef Expression
1 necomd.1 . 2 (φAB)
2 necom 2597 . 2 (ABBA)
31, 2sylib 188 1 (φBA)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wne 2516
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-cleq 2346  df-ne 2518
This theorem is referenced by:  difsnb  3850  vfinncvntnn  4548  vfinncvntsp  4549  nchoicelem12  6300  nchoicelem17  6305
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