Theorems · Theorem · order theory
isGLB_Icc
∀ {α : Type u_1} [inst : Preorder α] {a b : α}, b ≤ a → IsGLB (Set.Icc b a) b- Defined in
- Mathlib.Order.Bounds.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 12 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.Iccstatement · cited by 1,702
- IsGLBstatement · cited by 213
- IsLeast.isGLBproof · cited by 23
- isLeast_Iccproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- isGLB_Iocproof · cited by 3
- lowerBounds_Iccproof · cited by 0