Theorems · Theorem · order theory
isLUB_Icc
∀ {α : Type u_1} [inst : Preorder α] {a b : α}, a ≤ b → IsLUB (Set.Icc a b) b- Defined in
- Mathlib.Order.Bounds.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 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
- IsLUBstatement · cited by 280
- IsGreatest.isLUBproof · cited by 25
- isGreatest_Iccproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- isLUB_Icoproof · cited by 3
- upperBounds_Iccproof · cited by 0