Theorems · Theorem · order theory
Finset.insert_Ico_add_one_left_eq_Ico
∀ {α : Type u_2} [inst : LinearOrder α] [inst_1 : One α] [inst_2 : LocallyFiniteOrder α] [inst_3 : Add α]
[SuccAddOrder α] {a b : α}, a < b → insert a (Finset.Ico (a + 1) b) = Finset.Ico a b- Cited by
- 4 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- LinearOrderstatement and proof · cited by 8,572
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement and proof · cited by 450
- Order.succ_eq_add_oneproof · cited by 115
- SuccAddOrderstatement and proof · cited by 108
- Finset.insert_Ico_succ_left_eq_Icoproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Finset.sum_eq_sum_Ico_succ_botproof · cited by 8
- Nat.geom_sum_Ico_leproof · cited by 2
- Finset.prod_eq_prod_Ico_succ_botproof · cited by 2
- Nat.totient_eq_iff_primeproof · cited by 1