Definition df-xlim 40563

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 40562	. 2 class ~~>*
2		cle 10277	. . . 4 class ≤
3		cordt 16367	. . . 4 class ordTop
4	2, 3	cfv 6031	. . 3 class (ordTop‘ ≤ )
5		clm 21251	. . 3 class ⇝𝑡
6	4, 5	cfv 6031	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1631	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  40564  xlimres  40565  xlimcl  40566  xlimclim  40568  xlimconst  40569  xlimbr  40571  xlimmnfvlem1  40576  xlimmnfvlem2  40577  xlimpnfvlem1  40580  xlimpnfvlem2  40581