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Theorem indif 3747
 Description: Intersection with class difference. Theorem 34 of [Suppes] p. 29. (Contributed by NM, 17-Aug-2004.)
Assertion
Ref Expression
indif

Proof of Theorem indif
StepHypRef Expression
1 dfin4 3745 . 2
2 dfin4 3745 . . 3
32difeq2i 3615 . 2
4 difin 3742 . 2
51, 3, 43eqtr2i 2492 1
 Colors of variables: wff setvar class Syntax hints:   wceq 1395   cdif 3468   cin 3470 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1619  ax-4 1632  ax-5 1705  ax-6 1748  ax-7 1791  ax-10 1838  ax-11 1843  ax-12 1855  ax-13 2000  ax-ext 2435 This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1614  df-nf 1618  df-sb 1741  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-ral 2812  df-rab 2816  df-v 3111  df-dif 3474  df-in 3478  df-ss 3485 This theorem is referenced by:  resdif  5842  kmlem11  8557  psgndiflemB  18763
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