Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.toNonUnitalSubring_inj
∀ {R : Type u} {A : Type v} [inst : CommRing R] [inst_1 : NonUnitalRing A] [inst_2 : Module R A] [inst_3 : Star A]
{S U : NonUnitalStarSubalgebra R A}, S.toNonUnitalSubring = U.toNonUnitalSubring ↔ S = U- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
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- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- Starstatement and proof · cited by 496
- NonUnitalRingstatement and proof · cited by 422
- NonUnitalStarSubalgebrastatement and proof · cited by 196
- NonUnitalSubringstatement · cited by 185
- NonUnitalStarSubalgebra.toNonUnitalSubringstatement · cited by 4
- NonUnitalStarSubalgebra.toNonUnitalSubring_injectiveproof · cited by 1
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