Theorems · Theorem · order theory
Set.uIoc_of_ge
∀ {α : Type u_1} [inst : LinearOrder α] {a b : α}, b ≤ a → Set.uIoc a b = Set.Ioc b a- Cited by
- 6 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- 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.Iocstatement and proof · cited by 971
- sup_of_le_leftproof · cited by 218
- Set.uIocstatement · cited by 182
- inf_of_le_rightproof · cited by 128
Cited by6
Results whose statement or proof uses this declaration.
- intervalIntegral.intervalIntegral_eq_integral_uIocproof · cited by 17
- interval_average_eqproof · cited by 3
- OrderEmbedding.preimage_uIocproof · cited by 2
- MeasureTheory.intervalIntegral_integral_swapproof · cited by 2
- IntervalIntegrable.aestronglyMeasurable_restrict_uIocproof · cited by 1
- integral_pow_abs_sub_uIocproof · cited by 1