Theorems · Theorem · order theory
Finset.insert_Ico_left_eq_Ico_pred_of_not_isMin
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : LocallyFiniteOrder α] [inst_2 : PredOrder α] {a b : α},
a ≤ b → ¬IsMin a → insert (Order.pred a) (Finset.Ico a b) = Finset.Ico (Order.pred a) b- Defined in
- Mathlib.Order.Interval.Finset.SuccPred
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, 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.
- Finsetstatement · cited by 13,712
- LinearOrderstatement and proof · cited by 8,572
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement and proof · cited by 450
- PredOrderstatement and proof · cited by 334
- IsMinstatement and proof · cited by 277
- Order.predstatement and proof · cited by 273
- Finset.coe_injectiveproof · cited by 127
- Finset.coe_insertproof · cited by 124
- Finset.coe_Icoproof · cited by 66
- Set.insert_Ico_left_eq_Ico_pred_of_not_isMinproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Finset.insert_Ico_left_eq_Ico_sub_one_of_not_isMinproof · cited by 1
- Finset.insert_Ico_left_eq_Ico_predproof · cited by 0