Definition df-xlim 45848

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 45847	. 2 class ~~>*
2		cle 11270	. . . 4 class ≤
3		cordt 17513	. . . 4 class ordTop
4	2, 3	cfv 6531	. . 3 class (ordTop‘ ≤ )
5		clm 23164	. . 3 class ⇝𝑡
6	4, 5	cfv 6531	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1540	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  45849  xlimres  45850  xlimcl  45851  xlimclim  45853  xlimconst  45854  xlimbr  45856  xlimmnfvlem1  45861  xlimmnfvlem2  45862  xlimpnfvlem1  45865  xlimpnfvlem2  45866  xlimuni  45882  xlimfun  45884