Theorems · Theorem · general algebraic systems
Finsupp.support_smul_eq
∀ {α : Type u_1} {M : Type u_3} {R : Type u_6} [inst : Semiring R] [IsDomain R] [inst_2 : AddCommMonoid M]
[inst_3 : Module R M] [Module.IsTorsionFree R M] {b : R}, b ≠ 0 → ∀ {g : α →₀ M}, (b • g).support = g.support- Defined in
- Mathlib.Data.Finsupp.SMul
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 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.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- Finsetstatement · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- IsDomainstatement and proof · cited by 2,196
- Finsupp.supportstatement · cited by 828
- Module.IsTorsionFreestatement and proof · cited by 600
- Finset.extproof · cited by 565
Cited by2
Results whose statement or proof uses this declaration.
- Convexity.StdSimplex.support_weights_restrictproof · cited by 2
- MvPolynomial.support_smul_eqproof · cited by 0