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Theorem ineqan12d 3218
 Description: Equality deduction for intersection of two classes. (Contributed by NM, 7-Feb-2007.)
Hypotheses
Ref Expression
ineq1d.1
ineqan12d.2
Assertion
Ref Expression
ineqan12d

Proof of Theorem ineqan12d
StepHypRef Expression
1 ineq1d.1 . 2
2 ineqan12d.2 . 2
3 ineq12 3211 . 2
41, 2, 3syl2an 284 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 103   wceq 1296   cin 3012 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 668  ax-5 1388  ax-7 1389  ax-gen 1390  ax-ie1 1434  ax-ie2 1435  ax-8 1447  ax-10 1448  ax-11 1449  ax-i12 1450  ax-bndl 1451  ax-4 1452  ax-17 1471  ax-i9 1475  ax-ial 1479  ax-i5r 1480  ax-ext 2077 This theorem depends on definitions:  df-bi 116  df-tru 1299  df-nf 1402  df-sb 1700  df-clab 2082  df-cleq 2088  df-clel 2091  df-nfc 2224  df-v 2635  df-in 3019 This theorem is referenced by:  fvun1  5405  fndmin  5445  offval  5901  ofrfval  5902  offval3  5943  iooinsup  10820
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