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Theorems · Theorem · ring theory

SkewMonoidAlgebra.mapDomain_single

∀ {k : Type u_1} {G : Type u_2} [inst : AddCommMonoid k] {G' : Type u_3} {f : G → G'} {a : G} {b : k},
  (SkewMonoidAlgebra.mapDomain f) (SkewMonoidAlgebra.single a b) = SkewMonoidAlgebra.single (f a) b
Defined in
Mathlib.Algebra.SkewMonoidAlgebra.Basic
Cited by
3 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SkewMonoidAlgebra.mapDomain_mul · cited by 0SkewMonoidAlgebra.mapDoma…SkewMonoidAlgebra.mapDomain_one · cited by 0SkewMonoidAlgebra.mapDoma…SkewMonoidAlgebra.comapSMul_single · cited by 0SkewMonoidAlgebra.comapSM…DFunLike.coe · cited by 62936DFunLike.coeAddCommMonoid · cited by 12281AddCommMonoidAddMonoidHom · cited by 3230AddMonoidHomSkewMonoidAlgebra · cited by 216SkewMonoidAlgebraSkewMonoidAlgebra.single · cited by 83SkewMonoidAlgebra.singleSkewMonoidAlgebra.sum_single_index · cited by 12SkewMonoidAlgebra.sum_sin…SkewMonoidAlgebra.mapDomain · cited by 12SkewMonoidAlgebra.mapDoma…SkewMonoidAlgebra.single_zero · cited by 8SkewMonoidAlgebra.single_…SkewMonoidAlgebra.mapDomain_s…CITED BYCITES

Cites8

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Cited by3

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