Theorem wlimeq1

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

	Ref	Expression
Assertion	wlimeq1	$$⊢R=S\to WLim\left(R,A\right)=WLim\left(S,A\right)$$

Proof

Step	Hyp	Ref	Expression
1		eqid	$$⊢A=A$$
2		wlimeq12	$$⊢\left(R=S\wedge A=A\right)\to WLim\left(R,A\right)=WLim\left(S,A\right)$$
3	1 2	mpan2	$$⊢R=S\to WLim\left(R,A\right)=WLim\left(S,A\right)$$