Definition df-xlim 45834

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 45833	. 2 class ~~>*
2		cle 11296	. . . 4 class ≤
3		cordt 17544	. . . 4 class ordTop
4	2, 3	cfv 6561	. . 3 class (ordTop‘ ≤ )
5		clm 23234	. . 3 class ⇝𝑡
6	4, 5	cfv 6561	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1540	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  45835  xlimres  45836  xlimcl  45837  xlimclim  45839  xlimconst  45840  xlimbr  45842  xlimmnfvlem1  45847  xlimmnfvlem2  45848  xlimpnfvlem1  45851  xlimpnfvlem2  45852  xlimuni  45868  xlimfun  45870