Theorems · Theorem · order theory
Finset.right_notMem_Ico
∀ {α : Type u_2} {a b : α} [inst : Preorder α] [inst_1 : LocallyFiniteOrder α], b ∉ Finset.Ico a b- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 13 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.
Cites6
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
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement and proof · cited by 450
- lt_irreflproof · cited by 190
- Finset.mem_Icoproof · cited by 50
Cited by13
Results whose statement or proof uses this declaration.
- Finset.card_Ico_eq_card_Icc_sub_oneproof · cited by 8
- Finset.Icc_eq_cons_Icostatement and proof · cited by 7
- Finset.sum_Ico_succ_topproof · cited by 6
- Finset.prod_Ico_succ_topproof · cited by 4
- Commute.add_pow_prime_pow_eq'proof · cited by 3
- Multiset.right_notMem_Icoproof · cited by 1
- Finset.prod_Ico_mul_eq_prod_Ico_add_oneproof · cited by 1
- Finset.sum_Icc_eq_sum_Ico_addproof · cited by 1
- Finset.prod_Icc_eq_prod_Ico_mulproof · cited by 1
- Finset.mul_prod_Ico_eq_prod_Iccproof · cited by 1
- Finset.add_sum_Ico_eq_sum_Iccproof · cited by 1
- IncidenceAlgebra.sum_Icc_mu_rightproof · cited by 1