Definition df-xlim 46177

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 46176	. 2 class ~~>*
2		cle 11179	. . . 4 class ≤
3		cordt 17432	. . . 4 class ordTop
4	2, 3	cfv 6500	. . 3 class (ordTop‘ ≤ )
5		clm 23182	. . 3 class ⇝𝑡
6	4, 5	cfv 6500	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1542	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  46178  xlimres  46179  xlimcl  46180  xlimclim  46182  xlimconst  46183  xlimbr  46185  xlimmnfvlem1  46190  xlimmnfvlem2  46191  xlimpnfvlem1  46194  xlimpnfvlem2  46195  xlimuni  46211  xlimfun  46213