Definition df-xlim 42107

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 42106	. 2 class ~~>*
2		cle 10678	. . . 4 class ≤
3		cordt 16774	. . . 4 class ordTop
4	2, 3	cfv 6357	. . 3 class (ordTop‘ ≤ )
5		clm 21836	. . 3 class ⇝𝑡
6	4, 5	cfv 6357	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1537	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  42108  xlimres  42109  xlimcl  42110  xlimclim  42112  xlimconst  42113  xlimbr  42115  xlimmnfvlem1  42120  xlimmnfvlem2  42121  xlimpnfvlem1  42124  xlimpnfvlem2  42125  xlimuni  42141  xlimfun  42143