Theorems · Definition · group theory
FreeAbelianGroup.support
{X : Type u_1} → FreeAbelianGroup X → Finset Xsupport a for a : FreeAbelianGroup X is the finite set of x : X
that occur in the formal sum a.
- Defined in
- Mathlib.Algebra.FreeAbelianGroup.Finsupp
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Finsupp.supportproof · cited by 828
- FreeAbelianGroupstatement and proof · cited by 82
- FreeAbelianGroup.toFinsuppproof · cited by 10
Cited by12
Results whose statement or proof uses this declaration.
- FreeAbelianGroup.support_eq_emptystatement · cited by 1
- FreeAbelianGroup.support_zsmulstatement · cited by 1
- FreeAbelianGroup.support_addstatement · cited by 0
- FreeAbelianGroup.mem_support_iffstatement · cited by 0
- FreeAbelianGroup.support_negstatement · cited by 0
- FreeAbelianGroup.support_nsmulstatement · cited by 0
- FreeAbelianGroup.support_ofstatement · cited by 0
- FreeAbelianGroup.support_zerostatement · cited by 0
- FreeAbelianGroup.nonempty_support_iffstatement · cited by 0
- FreeAbelianGroup.notMem_support_iffstatement · cited by 0
- FreeAbelianGroup.card_support_eq_zerostatement · cited by 0
- FreeAbelianGroup.eq_sum_support_coeff_smul_ofstatement and proof · cited by 0