Metamath Proof Explorer


Definition df-xlim

Description: Define the convergence relation for extended real sequences. (Contributed by Glauco Siliprandi, 5-Feb-2022)

Ref Expression
Assertion df-xlim ~~>* = ( ⇝𝑡 ‘ ( ordTop ‘ ≤ ) )

Detailed syntax breakdown

Step Hyp Ref Expression
0 clsxlim ~~>*
1 clm 𝑡
2 cordt ordTop
3 cle
4 3 2 cfv ( ordTop ‘ ≤ )
5 4 1 cfv ( ⇝𝑡 ‘ ( ordTop ‘ ≤ ) )
6 0 5 wceq ~~>* = ( ⇝𝑡 ‘ ( ordTop ‘ ≤ ) )