Theorems · Theorem · order theory
Set.image_neg_Iio
∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : PartialOrder α] [IsOrderedAddMonoid α] (a : α),
Neg.neg '' Set.Iio a = Set.Ioi (-a)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 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
- AddCommGroupstatement and proof · cited by 12,871
- PartialOrderstatement and proof · cited by 6,410
- Set.imagestatement · cited by 5,609
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Set.Ioistatement and proof · cited by 1,463
- Set.Iiostatement · cited by 1,166
- Set.image_neg_eq_negproof · cited by 52
- Set.neg_Iioproof · cited by 8
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