Users' Mathboxes Mathbox for Glauco Siliprandi < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  df-xlim Structured version   Visualization version   Unicode version
Definition df-xlim 40045
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 40044 . 2 class ~~>*
2 cle 10075 . . . 4 class <_
3 cordt 16159 . . . 4 class ordTop
42, 3cfv 5888 . . 3 class (ordTop ` <_ )
5 clm 21030 . . 3 class ~~> t
64, 5cfv 5888 . 2 class ( ~~> t ` (ordTop ` <_ ) )
71, 6wceq 1483 1 wff ~~>* = ( ~~> t ` (ordTop ` <_ ) )
Colors of variables: wff setvar class
This definition is referenced by:  xlimrel  40046  xlimres  40047  xlimcl  40048  xlimclim  40050  xlimconst  40051  xlimbr  40053  xlimmnfvlem1  40058  xlimmnfvlem2  40059  xlimpnfvlem1  40062  xlimpnfvlem2  40063
  Copyright terms: Public domain W3C validator