Definition df-xlim 42098

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 42097	. 2 class ~~>*
2		cle 10675	. . . 4 class ≤
3		cordt 16771	. . . 4 class ordTop
4	2, 3	cfv 6354	. . 3 class (ordTop‘ ≤ )
5		clm 21833	. . 3 class ⇝𝑡
6	4, 5	cfv 6354	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1533	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  42099  xlimres  42100  xlimcl  42101  xlimclim  42103  xlimconst  42104  xlimbr  42106  xlimmnfvlem1  42111  xlimmnfvlem2  42112  xlimpnfvlem1  42115  xlimpnfvlem2  42116  xlimuni  42132  xlimfun  42134