Theorems · Theorem · order theory
Finset.Iio_eq_Ico
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : LocallyFiniteOrder α] [inst_2 : OrderBot α] (a : α),
Finset.Iio a = Finset.Ico ⊥ a- Defined in
- Mathlib.Order.Interval.Finset.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Preorderstatement and proof · cited by 7,952
- Bot.botstatement · cited by 4,720
- OrderBotstatement and proof · cited by 1,055
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement · cited by 450
- Finset.Iiostatement · cited by 147
Cited by3
Results whose statement or proof uses this declaration.
- Nat.Ico_zero_eq_rangeproof · cited by 25
- Nat.card_Iioproof · cited by 4
- InnerProductSpace.gramSchmidt_botproof · cited by 0