Theorems · Inductive type · order theory
IsOrderedVAdd
(G : Type u_3) → (P : Type u_4) → [LE G] → [LE P] → [VAdd G P] → Prop
An ordered vector addition is a bi-monotone vector addition.
- Defined in
- Mathlib.Algebra.Order.AddTorsor
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- VAddstatement · cited by 616
Cited by11
Results whose statement or proof uses this declaration.
- IsOrderedVAdd.vadd_le_vadd_leftstatement and proof · cited by 4
- IsOrderedVAdd.vadd_le_vadd_rightstatement and proof · cited by 4
- Set.IsPWO.vaddstatement and proof · cited by 3
- Set.IsWF.vaddstatement and proof · cited by 2
- IsOrderedVAdd.vadd_le_vaddstatement and proof · cited by 1
- Set.IsWF.min_vaddstatement and proof · cited by 1
- Monotone.vaddstatement and proof · cited by 1
- IsOrderedVAdd.casesOnstatement and proof · cited by 0
- IsOrderedVAdd.recOnstatement and proof · cited by 0
- IsOrderedCancelVAdd.casesOnstatement and proof · cited by 0
- IsOrderedCancelVAdd.recOnstatement and proof · cited by 0