Theorems · Definition · nonassociative algebras
NonUnitalSubalgebra.toNonUnitalSubsemiring
{R : Type u} →
{A : Type v} →
[inst : CommSemiring R] →
[inst_1 : NonUnitalNonAssocSemiring A] → [inst_2 : Module R A] → NonUnitalSubalgebra R A → NonUnitalSubsemiring AReinterpret a NonUnitalSubalgebra as a NonUnitalSubsemiring.
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- CommSemiringstatement and proof · cited by 10,911
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- NonUnitalSubalgebrastatement and proof · cited by 215
- NonUnitalSubsemiringstatement · cited by 201
Cited by54
Results whose statement or proof uses this declaration.
- NonUnitalStarAlgebra.adjoinproof · cited by 43
- NonUnitalSubalgebra.mapproof · cited by 23
- NonUnitalSubalgebra.toSubmoduleproof · cited by 23
- NonUnitalSubalgebra.toNonUnitalSubringproof · cited by 9
- NonUnitalSubalgebra.prodproof · cited by 8
- NonUnitalSubalgebra.starClosureproof · cited by 8
- NonUnitalSubalgebra.topologicalClosureproof · cited by 8
- NonUnitalAlgebra.gcproof · cited by 5
- NonUnitalSubalgebra.comapproof · cited by 5
- NonUnitalStarSubalgebra.toNonUnitalSubringproof · cited by 4
- NonUnitalSubalgebra.smul_mem'statement · cited by 4
- NonUnitalAlgHom.codRestrictproof · cited by 3