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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
StepHypRef Expression
1 clsxlim 40783 . 2 class ~~>*
2 cle 10365 . . . 4 class
3 cordt 16473 . . . 4 class ordTop
42, 3cfv 6102 . . 3 class (ordTop‘ ≤ )
5 clm 21358 . . 3 class 𝑡
64, 5cfv 6102 . 2 class (⇝𝑡‘(ordTop‘ ≤ ))
71, 6wceq 1653 1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))
Colors of variables: wff setvar class
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
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