Theorems · Theorem · ring theory
Subalgebra.toNonUnitalSubalgebra_injective
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A],
Function.Injective Subalgebra.toNonUnitalSubalgebra- Defined in
- Mathlib.Algebra.Algebra.Subalgebra.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
Cited by2
Results whose statement or proof uses this declaration.
- Subalgebra.toNonUnitalSubalgebraOrderEmbeddingproof · cited by 1
- Subalgebra.toNonUnitalSubalgebra_injproof · cited by 0