Definition df-xlim 45817

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 45816	. 2 class ~~>*
2		cle 11209	. . . 4 class ≤
3		cordt 17462	. . . 4 class ordTop
4	2, 3	cfv 6511	. . 3 class (ordTop‘ ≤ )
5		clm 23113	. . 3 class ⇝𝑡
6	4, 5	cfv 6511	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1540	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  45818  xlimres  45819  xlimcl  45820  xlimclim  45822  xlimconst  45823  xlimbr  45825  xlimmnfvlem1  45830  xlimmnfvlem2  45831  xlimpnfvlem1  45834  xlimpnfvlem2  45835  xlimuni  45851  xlimfun  45853