Theorem bj-pinftynrr

Description: The extended complex number pinfty is not a complex number. (Contributed by BJ, 27-Jun-2019)

	Ref	Expression
Assertion	bj-pinftynrr	$$⊢\neg +\infty \in ℂ$$

Proof

Step	Hyp	Ref	Expression
1		df-bj-pinfty	$$⊢+\infty =inftyexpi\left(0\right)$$
2		bj-inftyexpidisj	$$⊢\neg inftyexpi\left(0\right)\in ℂ$$
3	1 2	eqneltri	$$⊢\neg +\infty \in ℂ$$