Theorems · Theorem · order theory
Finset.Ioo_subset_Ico_self
∀ {α : Type u_2} {a b : α} [inst : Preorder α] [inst_1 : LocallyFiniteOrder α], Finset.Ioo a b ⊆ Finset.Ico a b- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PreorderLocallyFiniteOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Finsetstatement · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Preorderstatement and proof · cited by 7,952
- Set.Iooproof · cited by 1,214
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement and proof · cited by 450
- Finset.Ioostatement · cited by 185
- Finset.coe_subsetproof · cited by 93
- Finset.coe_Icoproof · cited by 66
- Finset.coe_Iooproof · cited by 48
- Set.Ioo_subset_Ico_selfproof · cited by 29
Cited by2
Results whose statement or proof uses this declaration.
- Finset.Ioo_subset_Icc_selfproof · cited by 0
- Finset.Ioo_subset_Ici_selfproof · cited by 0