Theorems · Theorem · order theory
Set.inv_Ioi
∀ {α : Type u_1} [inst : CommGroup α] [inst_1 : PartialOrder α] [IsOrderedMonoid α] (a : α), (Set.Ioi a)⁻¹ = Set.Iio a⁻¹- Cited by
- 6 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
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
- PartialOrderstatement and proof · cited by 6,410
- Set.extproof · cited by 2,266
- Set.Ioistatement · cited by 1,463
- Set.Iiostatement · cited by 1,166
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- Set.invstatement · cited by 132
- lt_inv'proof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- Set.inv_Iocproof · cited by 2
- Set.inv_Iooproof · cited by 2
- Set.image_const_div_Ioiproof · cited by 1
- Set.image_inv_Ioiproof · cited by 0
- MeasureTheory.IntegrableOn.comp_inv_Iioproof · cited by 0
- Filter.inv_nhdsGTproof · cited by 0