Definition df-xlim 42461

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 42460	. 2 class ~~>*
2		cle 10665	. . . 4 class ≤
3		cordt 16764	. . . 4 class ordTop
4	2, 3	cfv 6324	. . 3 class (ordTop‘ ≤ )
5		clm 21831	. . 3 class ⇝𝑡
6	4, 5	cfv 6324	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1538	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  42462  xlimres  42463  xlimcl  42464  xlimclim  42466  xlimconst  42467  xlimbr  42469  xlimmnfvlem1  42474  xlimmnfvlem2  42475  xlimpnfvlem1  42478  xlimpnfvlem2  42479  xlimuni  42495  xlimfun  42497