Theorems · Definition · general algebraic systems
Finsupp.equivMapDomain
{α : Type u_1} → {β : Type u_2} → {M : Type u_5} → [inst : Zero M] → α ≃ β → (α →₀ M) → β →₀ MGiven f : α ≃ β, we can map l : α →₀ M to equivMapDomain f l : β →₀ M (computably)
by mapping the support forwards and the function backwards.
- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Finsuppstatement and proof · cited by 5,255
- Equiv.symmproof · cited by 3,681
- Finsupp.supportproof · cited by 828
- Finset.mapproof · cited by 747
- Equiv.toEmbeddingproof · cited by 254
Cited by38
Results whose statement or proof uses this declaration.
- Finsupp.domCongr_applystatement · cited by 13
- Finsupp.equivMapDomain_singlestatement · cited by 11
- Module.Projective.of_equivproof · cited by 9
- SkewMonoidAlgebra.equivMapDomainproof · cited by 7
- Algebra.FormallyUnramified.finite_of_freeproof · cited by 7
- Finsupp.domCongrproof · cited by 5
- AddMonoidAlgebra.coeff_mapDomainRingEquivstatement · cited by 4
- MonoidAlgebra.coeff_mapDomainRingEquivstatement · cited by 4
- Finsupp.equivCongrLeftproof · cited by 4
- AddMonoidAlgebra.coeff_mapDomainAddEquivstatement · cited by 3
- MonoidAlgebra.coeff_mapDomainAddEquivstatement · cited by 3
- SkewMonoidAlgebra.coeff_equivMapDomainstatement · cited by 3