Theorems · Theorem · group theory
Function.support_mul_subset_left
∀ {ι : Type u_1} {M₀ : Type u_4} [inst : MulZeroClass M₀] (f g : ι → M₀),
(Function.support fun x => f x * g x) ⊆ Function.support f- Defined in
- Mathlib.Algebra.GroupWithZero.Indicator
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext
- Assumes
- MulZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- MulZeroClass.zero_mulproof · cited by 1,625
- Function.supportstatement and proof · cited by 610
- MulZeroClassstatement and proof · cited by 232
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.FinStronglyMeasurable.mulproof · cited by 1
- Function.HasFiniteSupport.mul_leftproof · cited by 1
- tsupport_mul_subset_leftproof · cited by 0