Theorems · Theorem · order theory
Finset.Icc_self
∀ {α : Type u_2} [inst : PartialOrder α] [inst_1 : LocallyFiniteOrder α] (a : α), Finset.Icc a a = {a}- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- PartialOrderstatement and proof · cited by 6,410
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Iccstatement · cited by 348
- Set.Icc_selfproof · cited by 63
- Finset.coe_Iccproof · cited by 60
- Finset.coe_eq_singletonproof · cited by 9
Cited by12
Results whose statement or proof uses this declaration.
- Finset.box_zeroproof · cited by 3
- sum_mul_eq_sub_integral_mulproof · cited by 1
- sum_mul_eq_sub_integral_mul₀proof · cited by 1
- ZLattice.sum_piFinset_Icc_rpow_leproof · cited by 1
- Nat.sum_Icc_chooseproof · cited by 1
- IncidenceAlgebra.sum_Icc_mu_rightproof · cited by 1
- DFinsupp.support_rangeIcc_subsetproof · cited by 0
- Finset.sum_Icc_of_even_eq_rangeproof · cited by 0
- Finset.prod_Icc_of_even_eq_rangeproof · cited by 0
- IsStrictOrderedRing.int_eq_of_mul_mem_Iooproof · cited by 0
- Multiset.Icc_selfproof · cited by 0
- Finset.uIcc_selfproof · cited by 0