Theorems · Theorem · order theory
isLeast_Ico
∀ {α : Type u_1} [inst : Preorder α] {a b : α}, b < a → IsLeast (Set.Ico b a) b- Defined in
- Mathlib.Order.Bounds.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Set.Icostatement · cited by 799
- lowerBoundsproof · cited by 212
- IsLeaststatement and proof · cited by 122
- Set.left_mem_Icoproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.