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SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for BJ
Extended real and complex numbers, real and complex projective lines
Extended numbers and projective lines as sets
bj-ccssccbar
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bj-ccinftyssccbar
Metamath Proof Explorer
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Theorem
bj-ccssccbar
Description:
Complex numbers are extended complex numbers.
(Contributed by
BJ
, 27-Jun-2019)
Ref
Expression
Assertion
bj-ccssccbar
⊢
ℂ
⊆
ℂ
‾
Proof
Step
Hyp
Ref
Expression
1
ssun1
⊢
ℂ
⊆
ℂ
∪
ℂ
∞
2
df-bj-ccbar
⊢
ℂ
‾
=
ℂ
∪
ℂ
∞
3
1
2
sseqtrri
⊢
ℂ
⊆
ℂ
‾