Theorems · Definition · order theory

partialSups

{α : Type u_1} →
  {ι : Type u_3} → [inst : SemilatticeSup α] → [inst_1 : Preorder ι] → [LocallyFiniteOrderBot ι] → (ι → α) → ι →o α

The monotone sequence whose value at i is the supremum of the f j where j ≤ i.

Defined in

Mathlib.Order.PartialSups

Cited by

67 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemilatticeSupPreorderLocallyFiniteOrderBot