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Theorems · Definition · order theory

PartialOrder.mkOfGroupCone

{S : Type u_1} →
  {G : Type u_2} → [inst : CommGroup G] → [inst_1 : SetLike S G] → S → [GroupConeClass S G] → PartialOrder G

Construct a partial order by designating a cone in an abelian group.

Defined in
Mathlib.Algebra.Order.Group.Cone
Cited by
2 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext
Assumes
CommGroupSetLikeGroupConeClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsOrderedMonoid.mkOfCone · cited by 0IsOrderedMonoid.mkOfConePartialOrder.mkOfGroupCone_le_iff · cited by 0PartialOrder.mkOfGroupCon…LinearOrder.mkOfGroupCone · cited by 0LinearOrder.mkOfGroupConePartialOrder · cited by 6410PartialOrderSetLike · cited by 1084SetLikeCommGroup · cited by 990CommGroupGroupConeClass · cited by 3GroupConeClassPartialOrder.mkOfGroupConeCITED BYCITES

Cites4

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Cited by3

Results whose statement or proof uses this declaration.