Theorems · Definition · ring theory
MonoidAlgebra.ofMagma
(R : Type u_8) → (M : Type u_9) → [inst : Semiring R] → [inst_1 : Mul M] → M →ₙ* MonoidAlgebra R M
The embedding of a magma into its magma algebra.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- MonoidAlgebrastatement · cited by 590
- MulHomstatement · cited by 299
- MonoidAlgebra.singleproof · cited by 253
Cited by7
Results whose statement or proof uses this declaration.
- MonoidAlgebra.ofproof · cited by 30
- FreeNonUnitalNonAssocAlgebra.ofproof · cited by 7
- MonoidAlgebra.liftMagmaproof · cited by 2
- MonoidAlgebra.ofMagma_applystatement and proof · cited by 1
- MonoidAlgebra.nonUnitalAlgHom_ext'statement and proof · cited by 1
- MonoidAlgebra.liftMagma_symm_applystatement · cited by 0
- MonoidAlgebra.nonUnitalAlgHom_ext'_iffstatement and proof · cited by 0