Definition df-xlim 46591

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 46590	. 2 class ~~>*
2		cle 11259	. . . 4 class ≤
3		cordt 17575	. . . 4 class ordTop
4	2, 3	cfv 6540	. . 3 class (ordTop‘ ≤ )
5		clm 23433	. . 3 class ⇝𝑡
6	4, 5	cfv 6540	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1570	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is used by:  xlimrel  46592  xlimres  46593  xlimcl  46594  xlimclim  46596  xlimconst  46597  xlimbr  46599  xlimmnfvlem1  46604  xlimmnfvlem2  46605  xlimpnfvlem1  46608  xlimpnfvlem2  46609  xlimuni  46625  xlimfun  46627