Theorems · Theorem · order theory
Set.inv_Icc
∀ {α : Type u_1} [inst : CommGroup α] [inst_1 : PartialOrder α] [IsOrderedMonoid α] (a b : α),
(Set.Icc a b)⁻¹ = Set.Icc b⁻¹ a⁻¹- Cited by
- 4 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Iccstatement · cited by 1,702
- Set.Iicproof · cited by 1,111
- Set.Iciproof · cited by 1,070
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- Set.inter_commproof · cited by 291
- Set.invstatement · cited by 132
- Set.inter_invproof · cited by 11
- Set.inv_Iciproof · cited by 5
- Set.inv_Iicproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- Valued.integer.locallyFiniteOrder_units_mrange_of_isCompact_integerproof · cited by 2
- Set.inv_uIccproof · cited by 0
- Set.image_inv_Iccproof · cited by 0
- Set.image_const_div_Iccproof · cited by 0