Theorems · Theorem · order theory
Set.image_inv_Ioc
∀ {α : Type u_1} [inst : CommGroup α] [inst_1 : PartialOrder α] [IsOrderedMonoid α] (a b : α),
Inv.inv '' Set.Ioc a b = Set.Ico b⁻¹ a⁻¹- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
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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.imagestatement · cited by 5,609
- CommGroupstatement and proof · cited by 990
- Set.Iocstatement · cited by 971
- Set.Icostatement and proof · cited by 799
- IsOrderedMonoidstatement and proof · cited by 577
- Set.image_inv_eq_invproof · cited by 44
- Set.inv_Iocproof · cited by 2
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