Definition df-xlim 46418

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 46417	. 2 class ~~>*
2		cle 11240	. . . 4 class ≤
3		cordt 17549	. . . 4 class ordTop
4	2, 3	cfv 6533	. . 3 class (ordTop‘ ≤ )
5		clm 23348	. . 3 class ⇝𝑡
6	4, 5	cfv 6533	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1567	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  46419  xlimres  46420  xlimcl  46421  xlimclim  46423  xlimconst  46424  xlimbr  46426  xlimmnfvlem1  46431  xlimmnfvlem2  46432  xlimpnfvlem1  46435  xlimpnfvlem2  46436  xlimuni  46452  xlimfun  46454