Theorems · Theorem · ring theory
Subalgebra.toNonUnitalSubalgebra_inj
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] {S U : Subalgebra R A},
S.toNonUnitalSubalgebra = U.toNonUnitalSubalgebra ↔ S = U- Defined in
- Mathlib.Algebra.Algebra.Subalgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Subalgebrastatement and proof · cited by 1,353
- NonUnitalSubalgebrastatement · cited by 215
- Subalgebra.toNonUnitalSubalgebrastatement · cited by 11
- Subalgebra.toNonUnitalSubalgebra_injectiveproof · cited by 1
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