Theorems · Theorem · order theory
Finset.Iio_add_one_eq_Iic
∀ {α : Type u_2} [inst : LinearOrder α] [inst_1 : One α] [inst_2 : LocallyFiniteOrderBot α] [inst_3 : Add α]
[SuccAddOrder α] [NoMaxOrder α] (b : α), Finset.Iio (b + 1) = Finset.Iic b- Cited by
- 2 results in Mathlib
- Foundations
- Depth 58 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
- NoMaxOrderstatement and proof · cited by 340
- LocallyFiniteOrderBotstatement and proof · cited by 286
- Finset.Iicstatement and proof · cited by 280
- Finset.Iiostatement and proof · cited by 147
- Order.succ_eq_add_oneproof · cited by 115
- SuccAddOrderstatement and proof · cited by 108
- Finset.Iio_succ_eq_Iicproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Finset.prod_Iio_add_one_commproof · cited by 2
- Finset.sum_Iio_add_zero_commproof · cited by 2