Theorems · Definition · ring theory
SkewMonoidAlgebra.equivMapDomain
{k : Type u_1} →
{G : Type u_2} → {H : Type u_3} → [inst : AddCommMonoid k] → G ≃ H → SkewMonoidAlgebra k G → SkewMonoidAlgebra k HGiven f : G ≃ H, we can map l : SkewMonoidAlgebra k G to
equivMapDomain f l : SkewMonoidAlgebra k H (computably) by mapping the support forwards
and the function backwards.
- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Lift
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 61 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Equivstatement and proof · cited by 8,337
- SkewMonoidAlgebrastatement and proof · cited by 216
- SkewMonoidAlgebra.coeffproof · cited by 110
- Finsupp.equivMapDomainproof · cited by 35
Cited by8
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.coeff_equivMapDomainstatement and proof · cited by 3
- SkewMonoidAlgebra.equivMapDomain_eq_mapDomainstatement and proof · cited by 1
- SkewMonoidAlgebra.equivMapDomain_singlestatement and proof · cited by 1
- SkewMonoidAlgebra.domCongrproof · cited by 1
- SkewMonoidAlgebra.equivMapDomain_reflstatement and proof · cited by 0
- SkewMonoidAlgebra.equivMapDomain_transstatement and proof · cited by 0
- SkewMonoidAlgebra.toFinsupp_equivMapDomainstatement · cited by 0
- SkewMonoidAlgebra.domCongr_applystatement · cited by 0