Theorems · Theorem · order theory
Set.neg_Ioc
∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : PartialOrder α] [IsOrderedAddMonoid α] (a b : α),
-Set.Ioc a b = Set.Ico (-b) (-a)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddCommGroupstatement and proof · cited by 12,871
- PartialOrderstatement and proof · cited by 6,410
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Set.Ioiproof · cited by 1,463
- Set.Iioproof · cited by 1,166
- Set.Iicproof · cited by 1,111
- Set.Iciproof · cited by 1,070
- Set.Iocstatement · cited by 971
- Set.Icostatement · cited by 799
- Set.inter_commproof · cited by 291
- Set.negstatement · cited by 168
Cited by2
Results whose statement or proof uses this declaration.
- Set.image_neg_Iocproof · cited by 0
- Set.image_const_sub_Iocproof · cited by 0