Theorems · Definition · group theory
Finsupp.toFreeAbelianGroup
{X : Type u_1} → (X →₀ ℤ) →+ FreeAbelianGroup XThe group homomorphism (X →₀ ℤ) →+ FreeAbelianGroup X.
- Defined in
- Mathlib.Algebra.FreeAbelianGroup.Finsupp
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsuppstatement · cited by 5,255
- AddMonoidHomstatement · cited by 3,230
- FreeAbelianGroupstatement and proof · cited by 82
- FreeAbelianGroup.ofproof · cited by 40
- AddMonoidHom.flipproof · cited by 25
- smulAddHomproof · cited by 17
- Finsupp.liftAddHomproof · cited by 12
Cited by9
Results whose statement or proof uses this declaration.
- FreeAbelianGroup.equivFinsuppproof · cited by 5
- Finsupp.toFreeAbelianGroup_singlestatement · cited by 3
- FreeAbelianGroup.toFinsupp_comp_toFreeAbelianGroupstatement and proof · cited by 1
- Finsupp.toFreeAbelianGroup_comp_toFinsuppstatement and proof · cited by 1
- Finsupp.toFreeAbelianGroup_toFinsuppstatement and proof · cited by 1
- FreeAbelianGroup.equivFinsupp_symm_applystatement · cited by 0
- FreeAbelianGroup.eq_sum_support_coeff_smul_ofproof · cited by 0
- FreeAbelianGroup.toFinsupp_toFreeAbelianGroupstatement and proof · cited by 0
- Finsupp.toFreeAbelianGroup_comp_singleAddHomstatement · cited by 0