Mathlib Map

Theorems · Theorem · group theory

Rep.res_map_hom_toLinearMap

Deprecated since 2026-06-26Use Rep.resMap_hom_toLinearMap instead.

∀ {k : Type u} [inst : Semiring k] {G : Type v1} {H : Type v2} [inst_1 : Monoid G] [inst_2 : Monoid H] (f : H →* G)
  {M N : Rep.{u_1, u, v1} k G} (p : M ⟶ N), (Rep.Hom.hom (Rep.resMap f p)).toLinearMap = (Rep.Hom.hom p).toLinearMap

Alias of Rep.resMap_hom_toLinearMap.

Defined in
Mathlib.RepresentationTheory.Rep.Res
Cited by
0 results in Mathlib
Foundations
Depth 51 from the axioms · uses propext, Quot.sound
Assumes
SemiringMonoidMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Quiver.Hom · cited by 32603Quiver.HomRingHom.id · cited by 18349RingHom.idSemiring · cited by 13802SemiringLinearMap · cited by 10215LinearMapMonoid · cited by 3887MonoidMonoidHom · cited by 3629MonoidHomRep · cited by 843RepRep.V · cited by 695Rep.VMonoidHom.comp · cited by 469MonoidHom.compRep.ρ · cited by 356Rep.ρRepresentation.IntertwiningMap.toLinearMap · cited by 205IntertwiningMap.toLinearM…Rep.Hom.hom · cited by 190Hom.homRep.of · cited by 57Rep.ofRep.resMap · cited by 23Rep.resMapRep.resMap_hom_toLinearMap · cited by 1Rep.resMap_hom_toLinearMapRep.res_map_hom_toLinearMapCITED BYCITES

Cites15

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.