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 ‘ ≤ ) )