Theorems · Definition · group theory
Finsupp.mapRange.addEquiv
{ι : Type u_1} →
{M : Type u_3} →
{N : Type u_4} → [inst : AddCommMonoid M] → [inst_1 : AddCommMonoid N] → M ≃+ N → (ι →₀ M) ≃+ (ι →₀ N)Finsupp.mapRange.AddMonoidHom as an equiv.
- Defined in
- Mathlib.Algebra.Group.Finsupp
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Equivproof · cited by 8,337
- Finsuppstatement and proof · cited by 5,255
- AddMonoidHomproof · cited by 3,230
- AddEquivstatement and proof · cited by 1,087
- EquivLike.toEquivproof · cited by 125
- AddEquiv.toAddMonoidHomproof · cited by 101
- Finsupp.mapRange.addMonoidHomproof · cited by 10
- Finsupp.mapRange.equivproof · cited by 6
Cited by18
Results whose statement or proof uses this declaration.
- Finsupp.mapRange.linearEquivproof · cited by 24
- Module.Free.of_equivproof · cited by 23
- Finsupp.mapRange.addEquiv_applystatement and proof · cited by 7
- AddMonoidAlgebra.curryAddEquivproof · cited by 2
- MonoidAlgebra.curryAddEquivproof · cited by 2
- PowerSeries.coeff_prodproof · cited by 2
- Finset.mapRange_finsuppAntidiag_eqstatement and proof · cited by 1
- Finset.mapRange_finsuppAntidiag_subsetstatement and proof · cited by 1
- AddMonoidAlgebra.curryAddEquiv_singleproof · cited by 1
- AddMonoidAlgebra.curryAddEquiv_symm_singleproof · cited by 1
- MonoidAlgebra.curryAddEquiv_singleproof · cited by 1
- MonoidAlgebra.curryAddEquiv_symm_singleproof · cited by 1