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Theorem zssre 9029
Description: The integers are a subset of the reals. (Contributed by NM, 2-Aug-2004.)
Assertion
Ref Expression
zssre  |-  ZZ  C_  RR

Proof of Theorem zssre
StepHypRef Expression
1 zre 9026 . 2  |-  ( x  e.  ZZ  ->  x  e.  RR )
21ssriv 3071 1  |-  ZZ  C_  RR
Colors of variables: wff set class
Syntax hints:    C_ wss 3041   RRcr 7587   ZZcz 9022
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 683  ax-5 1408  ax-7 1409  ax-gen 1410  ax-ie1 1454  ax-ie2 1455  ax-8 1467  ax-10 1468  ax-11 1469  ax-i12 1470  ax-bndl 1471  ax-4 1472  ax-17 1491  ax-i9 1495  ax-ial 1499  ax-i5r 1500  ax-ext 2099
This theorem depends on definitions:  df-bi 116  df-3or 948  df-3an 949  df-tru 1319  df-nf 1422  df-sb 1721  df-clab 2104  df-cleq 2110  df-clel 2113  df-nfc 2247  df-rex 2399  df-rab 2402  df-v 2662  df-un 3045  df-in 3047  df-ss 3054  df-sn 3503  df-pr 3504  df-op 3506  df-uni 3707  df-br 3900  df-iota 5058  df-fv 5101  df-ov 5745  df-neg 7904  df-z 9023
This theorem is referenced by:  suprzclex  9117  zred  9141  lbzbi  9376  fzval2  9761  seq3coll  10553  summodclem2a  11118  fsum3cvg3  11133  zsupcl  11567  infssuzex  11569  infssuzcldc  11571  gcddvds  11579  dvdslegcd  11580
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