Theorems · Theorem · ring theory
MonoidAlgebra.mapDomainRingHom_comp
∀ {R : Type u_3} {M : Type u_6} {N : Type u_7} {O : Type u_8} [inst : Semiring R] [inst_1 : Monoid M]
[inst_2 : Monoid N] [inst_3 : Monoid O] (f : N →* O) (g : M →* N),
MonoidAlgebra.mapDomainRingHom R (f.comp g) =
(MonoidAlgebra.mapDomainRingHom R f).comp (MonoidAlgebra.mapDomainRingHom R g)- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- Finsupp.singleproof · cited by 943
- RingHom.compstatement · cited by 899
- map_oneproof · cited by 861
- MonoidAlgebrastatement · cited by 590
- MonoidHom.compstatement and proof · cited by 469
- Finsupp.extproof · cited by 399
- MonoidAlgebra.singleproof · cited by 253
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