Definition df-xlim 45944

Description: Define the convergence relation for extended real sequences. (Contributed by Glauco Siliprandi, 5-Feb-2022.)

Assertion

Ref	Expression
df-xlim	⊢ ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

Detailed syntax breakdown of Definition df-xlim

Step	Hyp	Ref	Expression
1		clsxlim 45943	. 2 class ~~>*
2		cle 11156	. . . 4 class ≤
3		cordt 17407	. . . 4 class ordTop
4	2, 3	cfv 6488	. . 3 class (ordTop‘ ≤ )
5		clm 23144	. . 3 class ⇝𝑡
6	4, 5	cfv 6488	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1541	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  45945  xlimres  45946  xlimcl  45947  xlimclim  45949  xlimconst  45950  xlimbr  45952  xlimmnfvlem1  45957  xlimmnfvlem2  45958  xlimpnfvlem1  45961  xlimpnfvlem2  45962  xlimuni  45978  xlimfun  45980