Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.toNonUnitalSubalgebra_inj
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
[inst_3 : Star A] {S U : NonUnitalStarSubalgebra R A}, S.toNonUnitalSubalgebra = U.toNonUnitalSubalgebra ↔ S = U- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
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- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
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- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Starstatement and proof · cited by 496
- NonUnitalSubalgebrastatement · cited by 215
- NonUnitalStarSubalgebrastatement and proof · cited by 196
- NonUnitalStarSubalgebra.toNonUnitalSubalgebrastatement · cited by 37
- NonUnitalStarSubalgebra.toNonUnitalSubalgebra_injectiveproof · cited by 3
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