Definition df-xlim 46247

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 46246	. 2 class ~~>*
2		cle 11180	. . . 4 class ≤
3		cordt 17463	. . . 4 class ordTop
4	2, 3	cfv 6498	. . 3 class (ordTop‘ ≤ )
5		clm 23191	. . 3 class ⇝𝑡
6	4, 5	cfv 6498	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1542	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  46248  xlimres  46249  xlimcl  46250  xlimclim  46252  xlimconst  46253  xlimbr  46255  xlimmnfvlem1  46260  xlimmnfvlem2  46261  xlimpnfvlem1  46264  xlimpnfvlem2  46265  xlimuni  46281  xlimfun  46283