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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
StepHypRef Expression
1 clsxlim 40562 . 2 class ~~>*
2 cle 10277 . . . 4 class
3 cordt 16367 . . . 4 class ordTop
42, 3cfv 6031 . . 3 class (ordTop‘ ≤ )
5 clm 21251 . . 3 class 𝑡
64, 5cfv 6031 . 2 class (⇝𝑡‘(ordTop‘ ≤ ))
71, 6wceq 1631 1 wff ~~>* = (⇝𝑡‘(ordTop‘ ≤ ))
Colors of variables: wff setvar class
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
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