Theorems · Theorem · order theory
Finset.coe_Icc
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : LocallyFiniteOrder α] (a b : α), ↑(Finset.Icc a b) = Set.Icc a b- Defined in
- Mathlib.Order.Interval.Finset.Defs
- Cited by
- 60 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.Iccstatement · cited by 1,702
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Iccstatement · cited by 348
- Finset.mem_Iccproof · cited by 39
Cited by60
Results whose statement or proof uses this declaration.
- Finset.coe_uIccproof · cited by 13
- Finset.Icc_selfproof · cited by 12
- Finset.Icc_subset_Iccproof · cited by 6
- Finset.Ico_insert_rightproof · cited by 3
- Finset.nonempty_Iccproof · cited by 3
- Fin.map_castLEEmb_Iccproof · cited by 2
- Finset.Ico_subset_Icc_selfproof · cited by 2
- Finset.Icc_eq_empty_iffproof · cited by 2
- Finset.Icc_eq_singleton_iffproof · cited by 2
- Finset.Icc_succ_left_eq_Iocproof · cited by 2
- Finset.Ioc_pred_left_eq_Iccproof · cited by 1
- Finset.Ioc_pred_left_eq_Icc_of_not_isMinproof · cited by 1