Theorems · Theorem · order theory
Finset.coe_Ico
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : LocallyFiniteOrder α] (a b : α), ↑(Finset.Ico a b) = Set.Ico a b- Defined in
- Mathlib.Order.Interval.Finset.Defs
- Cited by
- 66 results in Mathlib
- Foundations
- Depth 56 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Finsetstatement · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Preorderstatement and proof · cited by 7,952
- Set.extproof · cited by 2,266
- Set.Icostatement · cited by 799
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement · cited by 450
- Finset.mem_Icoproof · cited by 50
Cited by66
Results whose statement or proof uses this declaration.
- Finset.Ico_subset_Icoproof · cited by 8
- Finset.Ico_union_Ico_eq_Icoproof · cited by 7
- Finset.map_add_right_Icoproof · cited by 5
- Finset.Ico_insert_rightproof · cited by 3
- Finset.Ico_eq_empty_iffproof · cited by 2
- Finset.Ico_subset_Icc_selfproof · cited by 2
- Finset.Ico_union_Icoproof · cited by 2
- Finset.insert_Ico_left_eq_Ico_pred_of_not_isMinproof · cited by 2
- Fin.map_castLEEmb_Icoproof · cited by 2
- Fin.finsetImage_castAdd_Iciproof · cited by 2
- Finset.Ioo_insert_leftproof · cited by 2
- Finset.Ioo_subset_Ico_selfproof · cited by 2