Definition df-xlim 46937

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 46936	. 2 class ~~>*
2		cle 11351	. . . 4 class ≤
3		cordt 17680	. . . 4 class ordTop
4	2, 3	cfv 6543	. . 3 class (ordTop‘ ≤ )
5		clm 23553	. . 3 class ⇝𝑡
6	4, 5	cfv 6543	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1569	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is used by:  xlimrel  46938  xlimres  46939  xlimcl  46940  xlimclim  46942  xlimconst  46943  xlimbr  46945  xlimmnfvlem1  46950  xlimmnfvlem2  46951  xlimpnfvlem1  46954  xlimpnfvlem2  46955  xlimuni  46971  xlimfun  46973