Theorems · Theorem · ring theory
MonoidAlgebra.mapRangeRingHom_comp
Deprecated since 2026-03-20Use MonoidAlgebra.mapRingHom_comp instead.
∀ {R : Type u_3} {S : Type u_4} {T : Type u_5} {M : Type u_6} [inst : Semiring R] [inst_1 : Semiring S]
[inst_2 : Semiring T] [inst_3 : Monoid M] (f : S →+* T) (g : R →+* S),
MonoidAlgebra.mapRingHom M (f.comp g) = (MonoidAlgebra.mapRingHom M f).comp (MonoidAlgebra.mapRingHom M g)Alias of MonoidAlgebra.mapRingHom_comp.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 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.
- Semiringstatement · cited by 13,802
- RingHomstatement · cited by 10,189
- Monoidstatement · cited by 3,887
- RingHom.compstatement · cited by 899
- MonoidAlgebrastatement · cited by 590
- MonoidAlgebra.mapRingHomstatement · cited by 27
- MonoidAlgebra.mapRingHom_compproof · cited by 2
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