Theorems · Theorem · order theory
Finset.insert_Ico_left_eq_Ico_pred
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : LocallyFiniteOrder α] [inst_2 : PredOrder α] {a b : α} [NoMinOrder α],
a ≤ b → insert (Order.pred a) (Finset.Ico a b) = Finset.Ico (Order.pred a) b- Defined in
- Mathlib.Order.Interval.Finset.SuccPred
- 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
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement · cited by 450
- PredOrderstatement and proof · cited by 334
- Order.predstatement · cited by 273
- NoMinOrderstatement and proof · cited by 247
- not_isMinproof · cited by 42
- Finset.insert_Ico_left_eq_Ico_pred_of_not_isMinproof · cited by 2
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