Theorems · Theorem · ring theory
AddMonoidAlgebra.mapDomainNonUnitalRingHom_comp
∀ {R : Type u_3} {M : Type u_6} {N : Type u_7} {O : Type u_8} [inst : Semiring R] [inst_1 : Add M] [inst_2 : Add N]
[inst_3 : Add O] (f : N →ₙ+ O) (g : M →ₙ+ N),
AddMonoidAlgebra.mapDomainNonUnitalRingHom R (f.comp g) =
(AddMonoidAlgebra.mapDomainNonUnitalRingHom R f).comp (AddMonoidAlgebra.mapDomainNonUnitalRingHom R g)- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
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
- AddMonoidAlgebrastatement and proof · cited by 649
- Finsupp.extproof · cited by 399
- AddMonoidAlgebra.coeffproof · cited by 365
- AddHomstatement and proof · cited by 294
- Finsupp.mapDomainproof · cited by 168
- NonUnitalRingHomstatement · cited by 157
- AddMonoidAlgebra.extproof · cited by 90
- NonUnitalRingHom.compstatement · cited by 38
- AddHom.compstatement and proof · cited by 37
- NonUnitalRingHom.extproof · cited by 21
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