Theorems · Theorem · order theory
Finset.Ico_insert_right
∀ {α : Type u_2} [inst : PartialOrder α] [inst_1 : LocallyFiniteOrder α] {a b : α} [inst_2 : DecidableEq α],
a ≤ b → insert b (Finset.Ico a b) = Finset.Icc a b- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Finsetstatement · cited by 13,712
- SetLike.coeproof · cited by 8,199
- PartialOrderstatement and proof · cited by 6,410
- Set.Iccproof · cited by 1,702
- Set.Icoproof · cited by 799
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement and proof · cited by 450
- Finset.Iccstatement and proof · cited by 348
- Finset.coe_insertproof · cited by 124
- Set.union_commproof · cited by 99
- Finset.coe_Icoproof · cited by 66
Cited by3
Results whose statement or proof uses this declaration.
- Finset.Icc_eq_cons_Icoproof · cited by 7
- Nat.sum_Icc_chooseproof · cited by 1
- Multiset.Ico_cons_rightproof · cited by 0