Definition df-xlim 45863

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 45862	. 2 class ~~>*
2		cle 11147	. . . 4 class ≤
3		cordt 17403	. . . 4 class ordTop
4	2, 3	cfv 6481	. . 3 class (ordTop‘ ≤ )
5		clm 23142	. . 3 class ⇝𝑡
6	4, 5	cfv 6481	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1541	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  45864  xlimres  45865  xlimcl  45866  xlimclim  45868  xlimconst  45869  xlimbr  45871  xlimmnfvlem1  45876  xlimmnfvlem2  45877  xlimpnfvlem1  45880  xlimpnfvlem2  45881  xlimuni  45897  xlimfun  45899