Theorems · Theorem · nonassociative algebras
NonUnitalSubalgebra.mem_toNonUnitalSubring
∀ {R : Type u} {A : Type v} [inst : CommRing R] [inst_1 : NonUnitalNonAssocRing A] [inst_2 : Module R A]
{S : NonUnitalSubalgebra R A} {x : A}, x ∈ S.toNonUnitalSubring ↔ x ∈ S- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
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.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubalgebrastatement and proof · cited by 215
- NonUnitalSubringstatement · cited by 185
- NonUnitalSubalgebra.toNonUnitalSubringstatement · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- NonUnitalSubalgebra.toNonUnitalSubring_injectiveproof · cited by 1