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Definition df-xlim 42252
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
StepHypRef Expression
1 clsxlim 42251 . 2 class ~~>*
2 cle 10654 . . . 4 class
3 cordt 16751 . . . 4 class ordTop
42, 3cfv 6331 . . 3 class (ordTop‘ ≤ )
5 clm 21810 . . 3 class 𝑡
64, 5cfv 6331 . 2 class (⇝𝑡‘(ordTop‘ ≤ ))
71, 6wceq 1537 1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))
Colors of variables: wff setvar class
This definition is referenced by:  xlimrel  42253  xlimres  42254  xlimcl  42255  xlimclim  42257  xlimconst  42258  xlimbr  42260  xlimmnfvlem1  42265  xlimmnfvlem2  42266  xlimpnfvlem1  42269  xlimpnfvlem2  42270  xlimuni  42286  xlimfun  42288
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