Theorems · Theorem · ring theory
AddMonoidAlgebra.mapDomainNonUnitalRingHom_apply
∀ (R : Type u_3) {M : Type u_6} {N : Type u_7} [inst : Semiring R] [inst_1 : Add M] [inst_2 : Add N] (f : M →ₙ+ N)
(x : AddMonoidAlgebra R M), (AddMonoidAlgebra.mapDomainNonUnitalRingHom R f) x = AddMonoidAlgebra.mapDomain (⇑f) x- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- AddMonoidAlgebrastatement and proof · cited by 649
- AddHomstatement and proof · cited by 294
- NonUnitalRingHomstatement · cited by 157
- AddMonoidAlgebra.mapDomainstatement · cited by 17
- AddMonoidAlgebra.mapDomainNonUnitalRingHomstatement and proof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.mapDomainNonUnitalRingHom_compproof · cited by 0
- AddMonoidAlgebra.mapDomainNonUnitalRingHom_idproof · cited by 0