Definition df-xlim 46262

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 46261	. 2 class ~~>*
2		cle 11171	. . . 4 class ≤
3		cordt 17454	. . . 4 class ordTop
4	2, 3	cfv 6485	. . 3 class (ordTop‘ ≤ )
5		clm 23209	. . 3 class ⇝𝑡
6	4, 5	cfv 6485	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1547	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  46263  xlimres  46264  xlimcl  46265  xlimclim  46267  xlimconst  46268  xlimbr  46270  xlimmnfvlem1  46275  xlimmnfvlem2  46276  xlimpnfvlem1  46279  xlimpnfvlem2  46280  xlimuni  46296  xlimfun  46298