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Theorem zsscn 8668
Description: The integers are a subset of the complex numbers. (Contributed by NM, 2-Aug-2004.)
Assertion
Ref Expression
zsscn ℤ ⊆ ℂ

Proof of Theorem zsscn
StepHypRef Expression
1 zcn 8665 . 2 (𝑥 ∈ ℤ → 𝑥 ∈ ℂ)
21ssriv 3016 1 ℤ ⊆ ℂ
Colors of variables: wff set class
Syntax hints:  wss 2986  cc 7269  cz 8660
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 663  ax-5 1379  ax-7 1380  ax-gen 1381  ax-ie1 1425  ax-ie2 1426  ax-8 1438  ax-10 1439  ax-11 1440  ax-i12 1441  ax-bndl 1442  ax-4 1443  ax-17 1462  ax-i9 1466  ax-ial 1470  ax-i5r 1471  ax-ext 2067  ax-resscn 7358
This theorem depends on definitions:  df-bi 115  df-3or 923  df-3an 924  df-tru 1290  df-nf 1393  df-sb 1690  df-clab 2072  df-cleq 2078  df-clel 2081  df-nfc 2214  df-rex 2361  df-rab 2364  df-v 2616  df-un 2990  df-in 2992  df-ss 2999  df-sn 3431  df-pr 3432  df-op 3434  df-uni 3631  df-br 3815  df-iota 4937  df-fv 4980  df-ov 5597  df-neg 7577  df-z 8661
This theorem is referenced by:  zex  8669  divfnzn  9015  zexpcl  9821
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