Definition df-xlim 44996

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 44995	. 2 class ~~>*
2		cle 11256	. . . 4 class ≤
3		cordt 17452	. . . 4 class ordTop
4	2, 3	cfv 6543	. . 3 class (ordTop‘ ≤ )
5		clm 23050	. . 3 class ⇝𝑡
6	4, 5	cfv 6543	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1540	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  44997  xlimres  44998  xlimcl  44999  xlimclim  45001  xlimconst  45002  xlimbr  45004  xlimmnfvlem1  45009  xlimmnfvlem2  45010  xlimpnfvlem1  45013  xlimpnfvlem2  45014  xlimuni  45030  xlimfun  45032