Theorems · Theorem · order theory
Order.Ioc_pred_right_of_not_isMin
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : PredOrder α] {a b : α}, ¬IsMin a → Set.Ioc b (Order.pred a) = Set.Ioo b a- Defined in
- Mathlib.Order.SuccPred.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- Set.Ioiproof · cited by 1,463
- Set.Ioostatement and proof · cited by 1,214
- Set.Iocstatement · cited by 971
- PredOrderstatement and proof · cited by 334
- IsMinstatement and proof · cited by 277
- Order.predstatement · cited by 273
- Set.Iio_inter_Ioiproof · cited by 5
- Set.Iic_inter_Ioiproof · cited by 5
- Order.Iic_pred_of_not_isMinproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Set.insert_Ioc_pred_right_eq_Iocproof · cited by 2
- Order.Ioc_pred_rightproof · cited by 1