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Theorems · Definition · combinatorics

Quiver.Path.weightOfEPs

{V : Type u_1} → [inst : Quiver V] → {R : Type u_2} → [Monoid R] → (V → V → R) → {i j : V} → Quiver.Path i j → R

The weight of a path, where the weight of an edge is defined by a function on its endpoints.

Defined in
Mathlib.Combinatorics.Quiver.Path.Weight
Cited by
5 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext
Assumes
QuiverMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Quiver.Path.weightOfEPs_comp · cited by 0Path.weightOfEPs_compQuiver.Path.weightOfEPs_cons · cited by 0Path.weightOfEPs_consQuiver.Path.weightOfEPs_nil · cited by 0Path.weightOfEPs_nilQuiver.Path.weightOfEPs_nonneg · cited by 0Path.weightOfEPs_nonnegQuiver.Path.weightOfEPs_pos · cited by 0Path.weightOfEPs_posQuiver.Hom · cited by 32603Quiver.HomMonoid · cited by 3887MonoidQuiver · cited by 405QuiverQuiver.Path · cited by 166Quiver.PathQuiver.Path.weight · cited by 8Path.weightPath.weightOfEPsCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.