Definition df-xlim 46354

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 46353	. 2 class ~~>*
2		cle 11211	. . . 4 class ≤
3		cordt 17520	. . . 4 class ordTop
4	2, 3	cfv 6516	. . 3 class (ordTop‘ ≤ )
5		clm 23274	. . 3 class ⇝𝑡
6	4, 5	cfv 6516	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1559	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  46355  xlimres  46356  xlimcl  46357  xlimclim  46359  xlimconst  46360  xlimbr  46362  xlimmnfvlem1  46367  xlimmnfvlem2  46368  xlimpnfvlem1  46371  xlimpnfvlem2  46372  xlimuni  46388  xlimfun  46390