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Theorems · Theorem · order theory

Set.Ioc_sub_one_right_eq_Ioo

∀ {α : Type u_2} [inst : LinearOrder α] [inst_1 : One α] [inst_2 : Sub α] [PredSubOrder α] (a b : α),
  Set.Ioc a (b - 1) = Set.Ioo a b
Defined in
Mathlib.Algebra.Order.Interval.Set.SuccPred
Cited by
0 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderOneSubPredSubOrder
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Set · cited by 53352SetLinearOrder · cited by 8572LinearOrderSet.Ioo · cited by 1214Set.IooSet.Ioc · cited by 971Set.IocPredSubOrder · cited by 68PredSubOrderOrder.pred_eq_sub_one · cited by 59Order.pred_eq_sub_oneSet.Ioc_pred_right_eq_Ioo · cited by 3Set.Ioc_pred_right_eq_IooSet.Ioc_sub_one_right_eq_IooCITED BYCITES

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