Theorem bj-ccinftyssccbar

Description: Infinite extended complex numbers are extended complex numbers. (Contributed by BJ, 27-Jun-2019)

	Ref	Expression
Assertion	bj-ccinftyssccbar	⊢ ℂ∞ ⊆ ℂ̅

Proof

Step	Hyp	Ref	Expression
1		ssun2	⊢ ℂ∞ ⊆ ( ℂ ∪ ℂ∞ )
2		df-bj-ccbar	⊢ ℂ̅ = ( ℂ ∪ ℂ∞ )
3	1 2	sseqtrri	⊢ ℂ∞ ⊆ ℂ̅