Theorems · Theorem · group theory
FreeAbelianGroup.support_zsmul
∀ {X : Type u_1} (k : ℤ), k ≠ 0 → ∀ (a : FreeAbelianGroup X), (k • a).support = a.support- Defined in
- Mathlib.Algebra.FreeAbelianGroup.Finsupp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Finsetstatement · cited by 13,712
- Finset.extproof · cited by 565
- FreeAbelianGroupstatement and proof · cited by 82
- map_zsmulproof · cited by 18
- FreeAbelianGroup.supportstatement · cited by 12
- FreeAbelianGroup.coeffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- FreeAbelianGroup.support_nsmulproof · cited by 0