Theorem wlimeq2

Description: Equality theorem for the limit class. (Contributed by Scott Fenton, 15-Jun-2018)

	Ref	Expression
Assertion	wlimeq2	$$⊢A=B\to WLim\left(R,A\right)=WLim\left(R,B\right)$$

Proof

Step	Hyp	Ref	Expression
1		eqid	$$⊢R=R$$
2		wlimeq12	$$⊢\left(R=R\wedge A=B\right)\to WLim\left(R,A\right)=WLim\left(R,B\right)$$
3	1 2	mpan	$$⊢A=B\to WLim\left(R,A\right)=WLim\left(R,B\right)$$