Theorems · Theorem · ring theory
AddMonoidAlgebra.mapDomainLinearMap_single
∀ {R : Type u_1} {S : Type u_2} {M : Type u_3} {N : Type u_4} [inst : Semiring R] [inst_1 : Semiring S]
[inst_2 : Module R S] (f : M → N) (s : S) (m : M),
(AddMonoidAlgebra.mapDomainLinearMap R S f) (AddMonoidAlgebra.single m s) = AddMonoidAlgebra.single (f m) s- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- LinearEquiv.symmproof · cited by 1,461
- Finsupp.singleproof · cited by 943
- AddMonoidAlgebrastatement · cited by 649
- AddMonoidAlgebra.singlestatement and proof · cited by 250
- Finsupp.lmapDomainproof · cited by 63
- Finsupp.mapDomain_singleproof · cited by 48
- AddMonoidAlgebra.coeffLinearEquivproof · cited by 15
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