Mathlib Map

Theorems · Definition · order theory

IsLUB

{α : Type u_1} → [LE α] → Set α → α → Prop

a is a least upper bound of a set s; for a partial order, it is unique if exists.

Defined in
Mathlib.Order.Bounds.Defs
Cited by
280 results in Mathlib
Foundations
Depth 6 from the axioms, rests on 14 definitions · uses no axioms
Assumes
LE

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Cited by331

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 331.