Theorems · Theorem · order theory
Set.Ico.infinite
∀ {α : Type u_1} [inst : Preorder α] [DenselyOrdered α] {a b : α}, a < b → Infinite ↑(Set.Ico a b)- Defined in
- Mathlib.Order.Interval.Set.Infinite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PreorderDenselyOrdered
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Cites7
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.Elemstatement · cited by 7,166
- Set.Icostatement · cited by 799
- DenselyOrderedstatement and proof · cited by 471
- Infinitestatement · cited by 352
- Set.infinite_coe_iffproof · cited by 16
- Set.Ico_infiniteproof · cited by 1
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