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Theorems · Theorem · ring theory

NonUnitalStarSubalgebra.inclusion_right

∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalSemiring A] [inst_2 : StarRing A]
  [inst_3 : Module R A] {S T : NonUnitalStarSubalgebra R A} (h : S ≤ T) (x : ↥T) (m : ↑x ∈ S),
  (NonUnitalStarSubalgebra.inclusion h) ⟨↑x, m⟩ = x
Defined in
Mathlib.Algebra.Star.NonUnitalSubalgebra
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Foundations
Depth 29 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringNonUnitalSemiringStarRingModule
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DFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleCommSemiring · cited by 10911CommSemiringStarRing · cited by 1686StarRingNonUnitalSemiring · cited by 339NonUnitalSemiringNonUnitalStarAlgHom · cited by 208NonUnitalStarAlgHomNonUnitalStarSubalgebra · cited by 196NonUnitalStarSubalgebraNonUnitalStarSubalgebra.inclusion · cited by 12NonUnitalStarSubalgebra.i…NonUnitalStarSubalgebra.inclu…CITED BYCITES

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