Theorems · Theorem · order theory
Set.Ioi_subset_Ioc_union_Ici
∀ {α : Type u_1} [inst : LinearOrder α] {a b : α}, Set.Ioi a ⊆ Set.Ioc a b ∪ Set.Ici b- Defined in
- Mathlib.Order.Interval.Set.LinearOrder
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrder
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
- LinearOrderstatement and proof · cited by 8,572
- Set.Ioistatement · cited by 1,463
- Set.Icistatement and proof · cited by 1,070
- Set.Iocstatement · cited by 971
- Set.Subset.transproof · cited by 218
- Set.Ioo_subset_Ioc_selfproof · cited by 30
- Set.union_subset_union_leftproof · cited by 7
- Set.Ioi_subset_Ioo_union_Iciproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Set.Ioc_union_Ici_eq_Ioiproof · cited by 0