Theorems · Theorem · order theory
upperBounds_Ico
∀ {γ : Type u_3} [inst : SemilatticeInf γ] [DenselyOrdered γ] {a b : γ}, b < a → upperBounds (Set.Ico b a) = Set.Ici a- Defined in
- Mathlib.Order.Bounds.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemilatticeInfDenselyOrdered
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.Icistatement · cited by 1,070
- Set.Icostatement · cited by 799
- SemilatticeInfstatement and proof · cited by 634
- DenselyOrderedstatement and proof · cited by 471
- upperBoundsstatement · cited by 263
- IsLUB.upperBounds_eqproof · cited by 10
- isLUB_Icoproof · cited by 3
Cited by0
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