Theorems · Theorem · order theory
NonemptyInterval.length_neg
∀ {α : Type u_2} [inst : AddCommGroup α] [inst_1 : PartialOrder α] [inst_2 : IsOrderedAddMonoid α]
(s : NonemptyInterval α), (-s).length = s.length- Defined in
- Mathlib.Algebra.Order.Interval.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- PartialOrderstatement and proof · cited by 6,410
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- NonemptyIntervalstatement and proof · cited by 139
- NonemptyInterval.toProdproof · cited by 62
- neg_sub_negproof · cited by 13
- NonemptyInterval.lengthstatement · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Interval.length_negproof · cited by 1
- NonemptyInterval.length_subproof · cited by 0