Mathlib Map

Theorems · Definition · order theory

IsLeast

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

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

Defined in
Mathlib.Order.Bounds.Defs
Cited by
122 results in Mathlib
Foundations
Depth 5 from the axioms, rests on 12 definitions · uses no axioms
Assumes
LE

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Setstatement and proof · cited by 53,352
  • lowerBoundsproof · cited by 212

Cited by128

Results whose statement or proof uses this declaration.