Definition df-xlim 46265

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 46264	. 2 class ~~>*
2		cle 11171	. . . 4 class ≤
3		cordt 17454	. . . 4 class ordTop
4	2, 3	cfv 6492	. . 3 class (ordTop‘ ≤ )
5		clm 23201	. . 3 class ⇝𝑡
6	4, 5	cfv 6492	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1542	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  46266  xlimres  46267  xlimcl  46268  xlimclim  46270  xlimconst  46271  xlimbr  46273  xlimmnfvlem1  46278  xlimmnfvlem2  46279  xlimpnfvlem1  46282  xlimpnfvlem2  46283  xlimuni  46299  xlimfun  46301