Definition df-xlim 44525

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 44524	. 2 class ~~>*
2		cle 11248	. . . 4 class ≤
3		cordt 17444	. . . 4 class ordTop
4	2, 3	cfv 6543	. . 3 class (ordTop‘ ≤ )
5		clm 22729	. . 3 class ⇝𝑡
6	4, 5	cfv 6543	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1541	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  44526  xlimres  44527  xlimcl  44528  xlimclim  44530  xlimconst  44531  xlimbr  44533  xlimmnfvlem1  44538  xlimmnfvlem2  44539  xlimpnfvlem1  44542  xlimpnfvlem2  44543  xlimuni  44559  xlimfun  44561