Theorems · Theorem · order theory
antivary_neg_left
∀ {ι : Type u_1} {α : Type u_2} {β : Type u_3} [inst : AddCommGroup α] [inst_1 : Preorder α] [IsOrderedAddMonoid α]
[inst_3 : PartialOrder β] {f : ι → α} {g : ι → β}, Antivary (-f) g ↔ Monovary f g- Defined in
- Mathlib.Algebra.Order.Monovary
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 15 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
- Preorderstatement and proof · cited by 7,952
- PartialOrderstatement and proof · cited by 6,410
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Monovarystatement · cited by 122
- Antivarystatement · cited by 121
- neg_le_neg_iffproof · cited by 57
Cited by3
Results whose statement or proof uses this declaration.
- monovary_negproof · cited by 2
- Antivary.of_neg_leftproof · cited by 0
- Monovary.neg_leftproof · cited by 0