Definition df-xlim 46063

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 46062	. 2 class ~~>*
2		cle 11167	. . . 4 class ≤
3		cordt 17420	. . . 4 class ordTop
4	2, 3	cfv 6492	. . 3 class (ordTop‘ ≤ )
5		clm 23170	. . 3 class ⇝𝑡
6	4, 5	cfv 6492	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1541	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  46064  xlimres  46065  xlimcl  46066  xlimclim  46068  xlimconst  46069  xlimbr  46071  xlimmnfvlem1  46076  xlimmnfvlem2  46077  xlimpnfvlem1  46080  xlimpnfvlem2  46081  xlimuni  46097  xlimfun  46099