Definition df-xlim 43329

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 43328	. 2 class ~~>*
2		cle 11009	. . . 4 class ≤
3		cordt 17206	. . . 4 class ordTop
4	2, 3	cfv 6431	. . 3 class (ordTop‘ ≤ )
5		clm 22373	. . 3 class ⇝𝑡
6	4, 5	cfv 6431	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1542	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  43330  xlimres  43331  xlimcl  43332  xlimclim  43334  xlimconst  43335  xlimbr  43337  xlimmnfvlem1  43342  xlimmnfvlem2  43343  xlimpnfvlem1  43346  xlimpnfvlem2  43347  xlimuni  43363  xlimfun  43365