Theorems · Theorem · general algebraic systems
Finsupp.support_mul_subset_left
∀ {α : Type u₁} {β : Type u₂} [inst : MulZeroClass β] {g₁ g₂ : α →₀ β}, (g₁ * g₂).support ⊆ g₁.support- Defined in
- Mathlib.Data.Finsupp.Pointwise
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Finsuppstatement and proof · cited by 5,255
- MulZeroClass.zero_mulproof · cited by 1,625
- Finsupp.supportstatement and proof · cited by 828
- MulZeroClassstatement and proof · cited by 232
Cited by3
Results whose statement or proof uses this declaration.
- QuadraticMap.apply_linearCombinationproof · cited by 1
- QuadraticMap.apply_linearCombination'proof · cited by 1
- Finsupp.support_mulproof · cited by 0