Theorems · Theorem · order theory
Set.uIoc_subset_uIoc_of_uIcc_subset_uIcc
∀ {α : Type u_1} [inst : LinearOrder α] {a b c d : α}, Set.uIcc a b ⊆ Set.uIcc c d → Set.uIoc a b ⊆ Set.uIoc c d- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.uIccstatement and proof · cited by 393
- Set.uIocstatement · cited by 182
- Set.Ioc_subset_Iocproof · cited by 10
- Set.uIcc_subset_uIcc_iff_leproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IntervalIntegrable.monoproof · cited by 3