Definition df-xlim 46650

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 46649	. 2 class ~~>*
2		cle 11271	. . . 4 class ≤
3		cordt 17588	. . . 4 class ordTop
4	2, 3	cfv 6533	. . 3 class (ordTop‘ ≤ )
5		clm 23454	. . 3 class ⇝𝑡
6	4, 5	cfv 6533	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1570	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is used by:  xlimrel  46651  xlimres  46652  xlimcl  46653  xlimclim  46655  xlimconst  46656  xlimbr  46658  xlimmnfvlem1  46663  xlimmnfvlem2  46664  xlimpnfvlem1  46667  xlimpnfvlem2  46668  xlimuni  46684  xlimfun  46686