Theorems · Theorem · ring theory
AddMonoidAlgebra.mapDomain_add
∀ {R : Type u_3} {M : Type u_6} {N : Type u_7} [inst : Semiring R] (f : M → N) (x y : AddMonoidAlgebra R M),
AddMonoidAlgebra.mapDomain f (x + y) = AddMonoidAlgebra.mapDomain f x + AddMonoidAlgebra.mapDomain f y- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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Cites10
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
- Finsupp.mapDomainproof · cited by 168
- AddMonoidAlgebra.extproof · cited by 90
- AddMonoidAlgebra.mapDomainstatement · cited by 17
- AddMonoidAlgebra.coeff_mapDomainproof · cited by 9
- Finsupp.mapDomain_addproof · cited by 8
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