Theorems · Theorem · ring theory
SkewMonoidAlgebra.coeff_mapDomain
∀ {k : Type u_1} {G : Type u_2} [inst : AddCommMonoid k] {G' : Type u_3} (f : G → G') (v : SkewMonoidAlgebra k G),
((SkewMonoidAlgebra.mapDomain f) v).coeff = Finsupp.mapDomain f v.coeff- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement · cited by 5,255
- AddMonoidHomstatement · cited by 3,230
- Finsupp.singleproof · cited by 943
- Finsupp.sumproof · cited by 481
- SkewMonoidAlgebrastatement and proof · cited by 216
- Finsupp.mapDomainstatement and proof · cited by 168
- SkewMonoidAlgebra.coeffstatement and proof · cited by 110
- SkewMonoidAlgebra.singleproof · cited by 83
- SkewMonoidAlgebra.mapDomainstatement · cited by 12
- SkewMonoidAlgebra.coeff_sum'proof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.equivMapDomain_eq_mapDomainproof · cited by 1
- SkewMonoidAlgebra.toFinsupp_mapDomainproof · cited by 0
- SkewMonoidAlgebra.mapDomain_smulproof · cited by 0