Theorems · Theorem · order theory
Set.Ioi_inter_Ioi
∀ {α : Type u_1} [inst : LinearOrder α] {a b : α}, Set.Ioi a ∩ Set.Ioi b = Set.Ioi (max a b)- Defined in
- Mathlib.Order.Interval.Set.LinearOrder
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrder
Around this declaration
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Set.extproof · cited by 2,266
- Set.Ioistatement · cited by 1,463
- sup_lt_iffproof · cited by 9
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