Definition df-xlim 45804

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 45803	. 2 class ~~>*
2		cle 11169	. . . 4 class ≤
3		cordt 17421	. . . 4 class ordTop
4	2, 3	cfv 6486	. . 3 class (ordTop‘ ≤ )
5		clm 23129	. . 3 class ⇝𝑡
6	4, 5	cfv 6486	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1540	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  45805  xlimres  45806  xlimcl  45807  xlimclim  45809  xlimconst  45810  xlimbr  45812  xlimmnfvlem1  45817  xlimmnfvlem2  45818  xlimpnfvlem1  45821  xlimpnfvlem2  45822  xlimuni  45838  xlimfun  45840