Definition df-xlim 45740

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 45739	. 2 class ~~>*
2		cle 11325	. . . 4 class ≤
3		cordt 17559	. . . 4 class ordTop
4	2, 3	cfv 6573	. . 3 class (ordTop‘ ≤ )
5		clm 23255	. . 3 class ⇝𝑡
6	4, 5	cfv 6573	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1537	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  45741  xlimres  45742  xlimcl  45743  xlimclim  45745  xlimconst  45746  xlimbr  45748  xlimmnfvlem1  45753  xlimmnfvlem2  45754  xlimpnfvlem1  45757  xlimpnfvlem2  45758  xlimuni  45774  xlimfun  45776