Theorems · Theorem · order theory
Antivary.neg_right
∀ {ι : Type u_1} {α : Type u_2} {β : Type u_3} [inst : PartialOrder α] [inst_1 : AddCommGroup β]
[inst_2 : PartialOrder β] [IsOrderedAddMonoid β] {f : ι → α} {g : ι → β}, Antivary f g → Monovary f (-g)Alias of the reverse direction of monovary_neg_right.
- Defined in
- Mathlib.Algebra.Order.Monovary
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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
- Monovarystatement · cited by 122
- Antivarystatement · cited by 121
- monovary_neg_rightproof · cited by 3
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