Mathlib Map

Theorems · Definition · ring theory

AddMonoidAlgebra.comapDomainAddMonoidHom

{R : Type u_3} →
  {M : Type u_6} →
    {N : Type u_7} →
      [inst : Semiring R] → (f : M → N) → Function.Injective f → AddMonoidAlgebra R N →+ AddMonoidAlgebra R M

comapDomain as an AddMonoidHom.

Defined in
Mathlib.Algebra.MonoidAlgebra.MapDomain
Cited by
3 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LaurentPolynomial.trunc · cited by 3LaurentPolynomial.truncAddMonoidAlgebra.comapDomainAddMonoidHom_apply · cited by 1AddMonoidAlgebra.comapDom…LaurentPolynomial.trunc_C_mul_T · cited by 1LaurentPolynomial.trunc_C…AddMonoidAlgebra.comapDomainAddMonoidHom.congr_simp · cited by 0comapDomainAddMonoidHom.c…Semiring · cited by 13802SemiringAddMonoidHom · cited by 3230AddMonoidHomAddMonoidAlgebra · cited by 649AddMonoidAlgebraAddMonoidAlgebra.comapDomain · cited by 7AddMonoidAlgebra.comapDom…AddMonoidAlgebra.comapDomainA…CITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.