Definition df-xlim 43250

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 43249	. 2 class ~~>*
2		cle 10941	. . . 4 class ≤
3		cordt 17127	. . . 4 class ordTop
4	2, 3	cfv 6418	. . 3 class (ordTop‘ ≤ )
5		clm 22285	. . 3 class ⇝𝑡
6	4, 5	cfv 6418	. 2 class (⇝𝑡‘(ordTop‘ ≤ ))
7	1, 6	wceq 1539	1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))

This definition is referenced by:  xlimrel  43251  xlimres  43252  xlimcl  43253  xlimclim  43255  xlimconst  43256  xlimbr  43258  xlimmnfvlem1  43263  xlimmnfvlem2  43264  xlimpnfvlem1  43267  xlimpnfvlem2  43268  xlimuni  43284  xlimfun  43286