Theorems · Theorem · order theory
Finset.Ico_add_one_add_one_eq_Ioc
∀ {α : Type u_2} [inst : LinearOrder α] [inst_1 : One α] [inst_2 : LocallyFiniteOrder α] [inst_3 : Add α]
[SuccAddOrder α] [NoMaxOrder α] (a b : α), Finset.Ico (a + 1) (b + 1) = Finset.Ioc a b- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- 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
- NoMaxOrderstatement and proof · cited by 340
- Finset.Iocstatement and proof · cited by 301
- Order.succ_eq_add_oneproof · cited by 115
- SuccAddOrderstatement and proof · cited by 108
- Finset.Ico_succ_succ_eq_Iocproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- sum_mul_eq_sub_sub_integral_mulproof · cited by 4