Mathlib Map

Theorems · Definition · group theory

AddMonoid.End

(M : Type u_4) → [AddZero M] → Type u_4

The monoid of endomorphisms.

Defined in
Mathlib.Algebra.Group.Hom.Defs
Cited by
64 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
AddZero
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Around this declaration

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

Module.mem_annihilator · cited by 14Module.mem_annihilatorCentroidHom.toEnd · cited by 12CentroidHom.toEndAddMonoid.End.mulLeft · cited by 11End.mulLeftAddMonoid.End.mulRight · cited by 9End.mulRightDistribMulAction.toAddMonoidEnd · cited by 9DistribMulAction.toAddMon…WithLp.idemFst · cited by 7WithLp.idemFstWithLp.idemSnd · cited by 7WithLp.idemSndRepresentation.ofDistribMulAction · cited by 5Representation.ofDistribM…CentroidHom.toEndRingHom · cited by 3CentroidHom.toEndRingHomWithLp.idemFst_add_idemSnd · cited by 2WithLp.idemFst_add_idemSndCentroidHom.centerToCentroidCenter · cited by 2CentroidHom.centerToCentr…monoidEndToAdditive · cited by 2monoidEndToAdditivecommute_lmul_lmul_sq · cited by 2commute_lmul_lmul_sqaddMonoidEndRingEquivInt · cited by 2addMonoidEndRingEquivIntaddMonoidEndToMultiplicative · cited by 2addMonoidEndToMultiplicat…AddMonoidHom · cited by 3230AddMonoidHomAddZero · cited by 87AddZeroAddMonoid.EndCITED BYCITES

Cites2

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

Cited by81

Results whose statement or proof uses this declaration.