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Theorem difeq1d 3055
Description: Deduction adding difference to the right in a class equality. (Contributed by NM, 15-Nov-2002.)
Hypothesis
Ref Expression
difeq1d.1
Assertion
Ref Expression
difeq1d  \  C  \  C

Proof of Theorem difeq1d
StepHypRef Expression
1 difeq1d.1 . 2
2 difeq1 3049 . 2  \  C  \  C
31, 2syl 14 1  \  C  \  C
Colors of variables: wff set class
Syntax hints:   wi 4   wceq 1242    \ cdif 2908
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 629  ax-5 1333  ax-7 1334  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-10 1393  ax-11 1394  ax-i12 1395  ax-bndl 1396  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424  ax-i5r 1425  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-tru 1245  df-nf 1347  df-sb 1643  df-clab 2024  df-cleq 2030  df-clel 2033  df-nfc 2164  df-rab 2309  df-dif 2914
This theorem is referenced by:  difeq12d  3057  diftpsn3  3496
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