Theorems · Theorem · order theory
upperBounds_Ioc
∀ {α : Type u_1} [inst : Preorder α] {a b : α}, a < b → upperBounds (Set.Ioc a b) = Set.Ici b- Defined in
- Mathlib.Order.Bounds.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
- Assumes
- Preorder
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Cites7
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.Icistatement · cited by 1,070
- Set.Iocstatement · cited by 971
- upperBoundsstatement · cited by 263
- IsLUB.upperBounds_eqproof · cited by 10
- isLUB_Iocproof · cited by 1
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