Theorems · Theorem · ring theory
AddMonoidAlgebra.mapDomain_algebraMap
∀ {R : Type u_1} (A : Type u_4) {M : Type u_7} {N : Type u_8} {F : Type u_10} [inst : CommSemiring R]
[inst_1 : Semiring A] [inst_2 : Algebra R A] [inst_3 : AddMonoid M] [inst_4 : AddMonoid N] [inst_5 : FunLike F M N]
[AddMonoidHomClass F M N] (f : F) (r : R),
AddMonoidAlgebra.mapDomain (⇑f) ((algebraMap R (AddMonoidAlgebra A M)) r) = (algebraMap R (AddMonoidAlgebra A N)) r- Defined in
- Mathlib.Algebra.MonoidAlgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement and proof · cited by 4,706
- AddMonoidstatement and proof · cited by 2,864
- FunLikestatement and proof · cited by 2,560
- map_zeroproof · cited by 1,614
- AddMonoidAlgebrastatement · cited by 649
- AddMonoidHomClassstatement and proof · cited by 252
- AddMonoidAlgebra.singleproof · cited by 250
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