Theorems · Theorem · group theory
Finsupp.toFreeAbelianGroup_single
∀ {X : Type u_1} (x : X) (n : ℤ), (Finsupp.toFreeAbelianGroup fun₀ | x => n) = n • FreeAbelianGroup.of x- Defined in
- Mathlib.Algebra.FreeAbelianGroup.Finsupp
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsuppstatement · cited by 5,255
- AddMonoidHomstatement · cited by 3,230
- map_zeroproof · cited by 1,614
- Finsupp.singlestatement · cited by 943
- Finsupp.sum_single_indexproof · cited by 130
- FreeAbelianGroupstatement and proof · cited by 82
- FreeAbelianGroup.ofstatement and proof · cited by 40
- smulAddHomproof · cited by 17
- Finsupp.toFreeAbelianGroupstatement · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- FreeAbelianGroup.toFinsupp_comp_toFreeAbelianGroupproof · cited by 1
- Finsupp.toFreeAbelianGroup_comp_singleAddHomproof · cited by 0
- FreeAbelianGroup.eq_sum_support_coeff_smul_ofproof · cited by 0