Metamath Proof Explorer


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 ‾