Theorems · Definition · ring theory
MonoidAlgebra.of
(R : Type u_8) → (M : Type u_9) → [inst : Semiring R] → [inst_1 : MulOneClass M] → M →* MonoidAlgebra R M
The embedding of a unital magma into its magma algebra.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 30 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringMulOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- MonoidHomstatement · cited by 3,629
- MulOneClassstatement and proof · cited by 1,018
- MonoidAlgebrastatement and proof · cited by 590
- MulHomproof · cited by 299
- MulHom.toFunproof · cited by 36
- MonoidAlgebra.ofMagmaproof · cited by 4
Cited by36
Results whose statement or proof uses this declaration.
- MonoidAlgebra.of_applystatement and proof · cited by 26
- MonoidAlgebra.liftproof · cited by 13
- MonoidAlgebra.induction_onstatement and proof · cited by 6
- FreeAlgebra.equivMonoidAlgebraFreeMonoidproof · cited by 3
- MonoidAlgebra.ringHom_ext'statement and proof · cited by 3
- GroupAlgebra.averageproof · cited by 3
- MonoidAlgebra.mem_span_support_coeffstatement · cited by 2
- MonoidAlgebra.rTensorEquivAlgEquiv.invFunproof · cited by 2
- Representation.asModuleEquiv_symm_map_rhostatement · cited by 2
- MonoidAlgebra.lift_ofstatement · cited by 1
- MonoidAlgebra.lift_unique'statement · cited by 1
- MonoidAlgebra.support_gen_of_genstatement and proof · cited by 1