Theorems · Theorem · order theory
antivary_inv_left
∀ {ι : Type u_1} {α : Type u_2} {β : Type u_3} [inst : CommGroup α] [inst_1 : Preorder α] [IsOrderedMonoid α]
[inst_3 : PartialOrder β] {f : ι → α} {g : ι → β}, Antivary f⁻¹ g ↔ Monovary f g- Defined in
- Mathlib.Algebra.Order.Monovary
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- PartialOrderstatement and proof · cited by 6,410
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- Monovarystatement · cited by 122
- Antivarystatement · cited by 121
Cited by2
Results whose statement or proof uses this declaration.
- Antivary.of_inv_leftproof · cited by 0
- Monovary.inv_leftproof · cited by 0