Mathlib Map

Theorems · Definition · order theory

Set.Ico

{α : Type u_1} → [Preorder α] → α → α → Set α

Ico a b is the left-closed right-open interval $[a, b)$.

Defined in
Mathlib.Order.Interval.Set.Defs
Cited by
799 results in Mathlib
Foundations
Depth 2 from the axioms, rests on 11 definitions · uses no axioms
Assumes
Preorder

Around this declaration

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

Cites3

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

  • Setstatement · cited by 53,352
  • Preorderstatement and proof · cited by 7,952
  • Set.ofPredproof · cited by 6,101

Cited by809

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 809.