Definition df-xlim 46798

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 46797	. 2 class ~~>*
2		cle 11337	. . . 4 class ≤
3		cordt 17664	. . . 4 class ordTop
4	2, 3	cfv 6537	. . 3 class (ordTop‘ ≤ )
5		clm 23537	. . 3 class ⇝𝑡
6	4, 5	cfv 6537	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1570	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is used by:  xlimrel  46799  xlimres  46800  xlimcl  46801  xlimclim  46803  xlimconst  46804  xlimbr  46806  xlimmnfvlem1  46811  xlimmnfvlem2  46812  xlimpnfvlem1  46815  xlimpnfvlem2  46816  xlimuni  46832  xlimfun  46834