Mathlib Map

Theorems · Definition · nonassociative algebras

CentroidHom.toEnd

{α : Type u_5} → [inst : NonUnitalNonAssocSemiring α] → CentroidHom α → AddMonoid.End α

Turn a centroid homomorphism into an additive monoid endomorphism.

Defined in
Mathlib.Algebra.Ring.CentroidHom
Cited by
12 results in Mathlib
Foundations
Depth 16 from the axioms · uses Quot.sound
Assumes
NonUnitalNonAssocSemiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CentroidHom.toEndRingHom · cited by 3CentroidHom.toEndRingHomCentroidHom.toEndRingHom_apply · cited by 0CentroidHom.toEndRingHom_…CentroidHom.toEnd_add · cited by 0CentroidHom.toEnd_addCentroidHom.toEnd_injective · cited by 0CentroidHom.toEnd_injecti…CentroidHom.toEnd_intCast · cited by 0CentroidHom.toEnd_intCastCentroidHom.toEnd_mul · cited by 0CentroidHom.toEnd_mulCentroidHom.toEnd_natCast · cited by 0CentroidHom.toEnd_natCastCentroidHom.toEnd_neg · cited by 0CentroidHom.toEnd_negCentroidHom.toEnd_one · cited by 0CentroidHom.toEnd_oneCentroidHom.toEnd_pow · cited by 0CentroidHom.toEnd_powCentroidHom.toEnd_smul · cited by 0CentroidHom.toEnd_smulCentroidHom.toEnd_sub · cited by 0CentroidHom.toEnd_subCentroidHom.toEnd_zero · cited by 0CentroidHom.toEnd_zeroNonUnitalNonAssocSemiring · cited by 1081NonUnitalNonAssocSemiringAddMonoidHomClass.toAddMonoidHom · cited by 232AddMonoidHomClass.toAddMo…CentroidHom · cited by 67CentroidHomAddMonoid.End · cited by 64AddMonoid.EndCentroidHom.toEndCITED BYCITES

Cites4

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

Cited by13

Results whose statement or proof uses this declaration.