Definition df-xlim 40045

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 40044	. 2 class ~~>*
2		cle 10075	. . . 4 class ≤
3		cordt 16159	. . . 4 class ordTop
4	2, 3	cfv 5888	. . 3 class (ordTop‘ ≤ )
5		clm 21030	. . 3 class ⇝𝑡
6	4, 5	cfv 5888	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1483	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  40046  xlimres  40047  xlimcl  40048  xlimclim  40050  xlimconst  40051  xlimbr  40053  xlimmnfvlem1  40058  xlimmnfvlem2  40059  xlimpnfvlem1  40062  xlimpnfvlem2  40063