Definition df-xlim 46533

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 46532	. 2 class ~~>*
2		cle 11239	. . . 4 class ≤
3		cordt 17548	. . . 4 class ordTop
4	2, 3	cfv 6536	. . 3 class (ordTop‘ ≤ )
5		clm 23383	. . 3 class ⇝𝑡
6	4, 5	cfv 6536	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1570	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  46534  xlimres  46535  xlimcl  46536  xlimclim  46538  xlimconst  46539  xlimbr  46541  xlimmnfvlem1  46546  xlimmnfvlem2  46547  xlimpnfvlem1  46550  xlimpnfvlem2  46551  xlimuni  46567  xlimfun  46569