Theorems · Theorem · ring theory
MonoidAlgebra.mapDomainRingHom_apply
∀ (R : Type u_3) {M : Type u_6} {N : Type u_7} [inst : Semiring R] [inst_1 : Monoid M] [inst_2 : Monoid N] (f : M →* N)
(x : MonoidAlgebra R M), (MonoidAlgebra.mapDomainRingHom R f) x = MonoidAlgebra.mapDomain (⇑f) x- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 5 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
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- MonoidAlgebrastatement and proof · cited by 590
- MonoidAlgebra.mapDomainstatement · cited by 15
- MonoidAlgebra.mapDomainRingHomstatement and proof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- MonoidAlgebra.mapDomainRingEquiv_singleproof · cited by 2
- MonoidAlgebra.mapRingHom_comp_mapDomainRingHomproof · cited by 1
- MonoidAlgebra.mapDomainRingHom_compproof · cited by 0
- MonoidAlgebra.mapDomainRingHom_comp_algebraMapproof · cited by 0
- MonoidAlgebra.mapDomainRingHom_idproof · cited by 0