Theorems · Theorem · order theory
Finset.Iio_add_one_eq_Iic_of_not_isMax
∀ {α : Type u_2} [inst : LinearOrder α] [inst_1 : One α] [inst_2 : LocallyFiniteOrderBot α] [inst_3 : Add α]
[SuccAddOrder α] {b : α}, ¬IsMax b → Finset.Iio (b + 1) = Finset.Iic b- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- IsMaxstatement and proof · cited by 372
- 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_Iic_of_not_isMaxproof · cited by 1
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