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Theorems · Theorem · nonassociative algebras

NonUnitalSubalgebra.map_id

∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
  (S : NonUnitalSubalgebra R A), NonUnitalSubalgebra.map (NonUnitalAlgHom.id R A) S = S
Defined in
Mathlib.Algebra.Algebra.NonUnitalSubalgebra
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Foundations
Depth 20 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringNonUnitalNonAssocSemiringModule
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Module · cited by 20661ModuleCommSemiring · cited by 10911CommSemiringSetLike.coe · cited by 8199SetLike.coeNonUnitalNonAssocSemiring · cited by 1081NonUnitalNonAssocSemiringSetLike.coe_injective · cited by 374SetLike.coe_injectiveMonoidHom.id · cited by 323MonoidHom.idNonUnitalSubalgebra · cited by 215NonUnitalSubalgebraNonUnitalAlgHom · cited by 148NonUnitalAlgHomSet.image_id · cited by 60Set.image_idNonUnitalSubalgebra.toNonUnitalSubsemiring · cited by 33NonUnitalSubalgebra.toNon…NonUnitalSubalgebra.map · cited by 23NonUnitalSubalgebra.mapNonUnitalAlgHom.id · cited by 5NonUnitalAlgHom.idNonUnitalSubalgebra.map_idCITED BYCITES

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