Definition df-xlim 47102

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 47101	. 2 class ~~>*
2		cle 11383	. . . 4 class ≤
3		cordt 17721	. . . 4 class ordTop
4	2, 3	cfv 6566	. . 3 class (ordTop‘ ≤ )
5		clm 23599	. . 3 class ⇝𝑡
6	4, 5	cfv 6566	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1570	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is used by:  xlimrel  47103  xlimres  47104  xlimcl  47105  xlimclim  47107  xlimconst  47108  xlimbr  47110  xlimmnfvlem1  47115  xlimmnfvlem2  47116  xlimpnfvlem1  47119  xlimpnfvlem2  47120  xlimuni  47136  xlimfun  47138