Definition df-xlim 40784

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 40783	. 2 class ~~>*
2		cle 10365	. . . 4 class ≤
3		cordt 16473	. . . 4 class ordTop
4	2, 3	cfv 6102	. . 3 class (ordTop‘ ≤ )
5		clm 21358	. . 3 class ⇝𝑡
6	4, 5	cfv 6102	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1653	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  40785  xlimres  40786  xlimcl  40787  xlimclim  40789  xlimconst  40790  xlimbr  40792  xlimmnfvlem1  40797  xlimmnfvlem2  40798  xlimpnfvlem1  40801  xlimpnfvlem2  40802