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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.

Finsupp.mapRange.linearEquiv · cited by 24mapRange.linearEquivModule.Free.of_equiv · cited by 23Free.of_equivFinsupp.mapRange.addEquiv_apply · cited by 7mapRange.addEquiv_applyAddMonoidAlgebra.curryAddEquiv · cited by 2AddMonoidAlgebra.curryAdd…MonoidAlgebra.curryAddEquiv · cited by 2MonoidAlgebra.curryAddEqu…PowerSeries.coeff_prod · cited by 2PowerSeries.coeff_prodFinset.mapRange_finsuppAntidiag_eq · cited by 1Finset.mapRange_finsuppAn…Finset.mapRange_finsuppAntidiag_subset · cited by 1Finset.mapRange_finsuppAn…AddMonoidAlgebra.curryAddEquiv_single · cited by 1AddMonoidAlgebra.curryAdd…AddMonoidAlgebra.curryAddEquiv_symm_single · cited by 1AddMonoidAlgebra.curryAdd…MonoidAlgebra.curryAddEquiv_single · cited by 1MonoidAlgebra.curryAddEqu…MonoidAlgebra.curryAddEquiv_symm_single · cited by 1MonoidAlgebra.curryAddEqu…Finsupp.mapRange.addEquiv_refl · cited by 0mapRange.addEquiv_reflFinsupp.mapRange.addEquiv_symm · cited by 0mapRange.addEquiv_symmFinsupp.mapRange.addEquiv_toAddMonoidHom · cited by 0mapRange.addEquiv_toAddMo…AddCommMonoid · cited by 12281AddCommMonoidEquiv · cited by 8337EquivFinsupp · cited by 5255FinsuppAddMonoidHom · cited by 3230AddMonoidHomAddEquiv · cited by 1087AddEquivEquivLike.toEquiv · cited by 125EquivLike.toEquivAddEquiv.toAddMonoidHom · cited by 101AddEquiv.toAddMonoidHomFinsupp.mapRange.addMonoidHom · cited by 10mapRange.addMonoidHomFinsupp.mapRange.equiv · cited by 6mapRange.equivmapRange.addEquivCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by18

Results whose statement or proof uses this declaration.