Theorems · Theorem · order theory
Order.Icc_pred_right
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : PredOrder α] [NoMinOrder α] (a b : α),
Set.Icc b (Order.pred a) = Set.Ico b a- Defined in
- Mathlib.Order.SuccPred.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PreorderPredOrderNoMinOrder
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.
- Setstatement · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- Set.Iccstatement · cited by 1,702
- Set.Icostatement · cited by 799
- PredOrderstatement and proof · cited by 334
- Order.predstatement · cited by 273
- NoMinOrderstatement and proof · cited by 247
- not_isMinproof · cited by 42
- Order.Icc_pred_right_of_not_isMinproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Finset.Icc_pred_right_eq_Icoproof · cited by 1