Definition df-xlim 44583

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 44582	. 2 class ~~>*
2		cle 11249	. . . 4 class ≤
3		cordt 17445	. . . 4 class ordTop
4	2, 3	cfv 6544	. . 3 class (ordTop‘ ≤ )
5		clm 22730	. . 3 class ⇝𝑡
6	4, 5	cfv 6544	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1542	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  44584  xlimres  44585  xlimcl  44586  xlimclim  44588  xlimconst  44589  xlimbr  44591  xlimmnfvlem1  44596  xlimmnfvlem2  44597  xlimpnfvlem1  44600  xlimpnfvlem2  44601  xlimuni  44617  xlimfun  44619