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Theorem bj-ccinftyssccbar 35901
Description: Infinite extended complex numbers are extended complex numbers. (Contributed by BJ, 27-Jun-2019.)
Assertion
Ref Expression
bj-ccinftyssccbar ⊆ ℂ̅

Proof of Theorem bj-ccinftyssccbar
StepHypRef Expression
1 ssun2 4169 . 2 ⊆ (ℂ ∪ ℂ)
2 df-bj-ccbar 35899 . 2 ℂ̅ = (ℂ ∪ ℂ)
31, 2sseqtrri 4015 1 ⊆ ℂ̅
Colors of variables: wff setvar class
Syntax hints:  cun 3942  wss 3944  cc 11090  cccinfty 35894  ℂ̅cccbar 35898
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1797  ax-4 1811  ax-5 1913  ax-6 1971  ax-7 2011  ax-8 2108  ax-9 2116  ax-ext 2702
This theorem depends on definitions:  df-bi 206  df-an 397  df-or 846  df-tru 1544  df-ex 1782  df-sb 2068  df-clab 2709  df-cleq 2723  df-clel 2809  df-v 3475  df-un 3949  df-in 3951  df-ss 3961  df-bj-ccbar 35899
This theorem is referenced by:  bj-pinftyccb  35904  bj-minftyccb  35908
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