Theorems · Theorem · ring theory
AddMonoidAlgebra.mapDomainRingHom_apply
∀ (R : Type u_3) {M : Type u_6} {N : Type u_7} [inst : Semiring R] [inst_1 : AddMonoid M] [inst_2 : AddMonoid N]
(f : M →+ N) (x : AddMonoidAlgebra R M), (AddMonoidAlgebra.mapDomainRingHom R f) x = AddMonoidAlgebra.mapDomain (⇑f) x- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- AddMonoidAlgebrastatement and proof · cited by 649
- AddMonoidAlgebra.mapDomainstatement · cited by 17
- AddMonoidAlgebra.mapDomainRingHomstatement and proof · cited by 8
Cited by6
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.mapDomainRingEquiv_singleproof · cited by 6
- Polynomial.toLaurent_C_mul_Tproof · cited by 4
- AddMonoidAlgebra.mapDomainRingHom_compproof · cited by 0
- AddMonoidAlgebra.mapDomainRingHom_comp_algebraMapproof · cited by 0
- AddMonoidAlgebra.mapDomainRingHom_idproof · cited by 0
- AddMonoidAlgebra.mapRingHom_comp_mapDomainRingHomproof · cited by 0