Definition df-xlim 46647

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 46646	. 2 class ~~>*
2		cle 11268	. . . 4 class ≤
3		cordt 17585	. . . 4 class ordTop
4	2, 3	cfv 6533	. . 3 class (ordTop‘ ≤ )
5		clm 23451	. . 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  46648  xlimres  46649  xlimcl  46650  xlimclim  46652  xlimconst  46653  xlimbr  46655  xlimmnfvlem1  46660  xlimmnfvlem2  46661  xlimpnfvlem1  46664  xlimpnfvlem2  46665  xlimuni  46681  xlimfun  46683