Theorems · Theorem · ring theory
SkewMonoidAlgebra.mapDomain_comp
∀ {k : Type u_1} {G : Type u_2} [inst : AddCommMonoid k] {G' : Type u_3} {G'' : Type u_4} {f : G → G'} {g : G' → G''}
{v : SkewMonoidAlgebra k G},
(SkewMonoidAlgebra.mapDomain (g ∘ f)) v = (SkewMonoidAlgebra.mapDomain g) ((SkewMonoidAlgebra.mapDomain f) v)- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
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Cites11
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- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- AddMonoidHomstatement · cited by 3,230
- SkewMonoidAlgebrastatement and proof · cited by 216
- SkewMonoidAlgebra.supportproof · cited by 45
- SkewMonoidAlgebra.sum_single_indexproof · cited by 12
- SkewMonoidAlgebra.mapDomainstatement · cited by 12
- SkewMonoidAlgebra.single_zeroproof · cited by 8
- SkewMonoidAlgebra.single_addproof · cited by 5
- SkewMonoidAlgebra.sum_sum_indexproof · cited by 3
- SkewMonoidAlgebra.sum_congrproof · cited by 3
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