Theorems · Theorem · ring theory
SkewMonoidAlgebra.equivMapDomain_single
∀ {k : Type u_1} {G : Type u_2} {H : Type u_3} [inst : AddCommMonoid k] (f : G ≃ H) (a : G) (b : k),
SkewMonoidAlgebra.equivMapDomain f (SkewMonoidAlgebra.single a b) = SkewMonoidAlgebra.single (f a) b- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Lift
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 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.
Cites11
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
- AddCommMonoidstatement and proof · cited by 12,281
- Equivstatement and proof · cited by 8,337
- Finsupp.singleproof · cited by 943
- SkewMonoidAlgebrastatement · cited by 216
- SkewMonoidAlgebra.coeffproof · cited by 110
- SkewMonoidAlgebra.singlestatement and proof · cited by 83
- Finsupp.equivMapDomain_singleproof · cited by 11
- SkewMonoidAlgebra.equivMapDomainstatement and proof · cited by 7
- SkewMonoidAlgebra.coeff_injectiveproof · cited by 7
- SkewMonoidAlgebra.coeff_equivMapDomainproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.domCongr_singleproof · cited by 0