Definition df-xlim 43360

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 43359	. 2 class ~~>*
2		cle 11010	. . . 4 class ≤
3		cordt 17210	. . . 4 class ordTop
4	2, 3	cfv 6433	. . 3 class (ordTop‘ ≤ )
5		clm 22377	. . 3 class ⇝𝑡
6	4, 5	cfv 6433	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1539	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  43361  xlimres  43362  xlimcl  43363  xlimclim  43365  xlimconst  43366  xlimbr  43368  xlimmnfvlem1  43373  xlimmnfvlem2  43374  xlimpnfvlem1  43377  xlimpnfvlem2  43378  xlimuni  43394  xlimfun  43396