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Theorems · Theorem · order theory

Set.Ioo_succ_right_eq_Ioc

∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : SuccOrder α] [NoMaxOrder α] (a b : α),
  Set.Ioo a (Order.succ b) = Set.Ioc a b
Defined in
Mathlib.Order.Interval.Set.SuccPred
Cited by
1 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderSuccOrderNoMaxOrder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.Ioo_add_one_right_eq_Ioc · cited by 0Set.Ioo_add_one_right_eq_…Set · cited by 53352SetLinearOrder · cited by 8572LinearOrderSet.Ioo · cited by 1214Set.IooSet.Ioc · cited by 971Set.IocOrder.succ · cited by 633Order.succSuccOrder · cited by 574SuccOrderNoMaxOrder · cited by 340NoMaxOrdernot_isMax · cited by 46not_isMaxSet.Ioo_succ_right_eq_Ioc_of_not_isMax · cited by 4Set.Ioo_succ_right_eq_Ioc…Set.Ioo_succ_right_eq_IocCITED BYCITES

Cites9

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Cited by1

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