Theorems · Theorem · group theory
Function.support_sub
∀ {α : Type u_1} {G : Type u_3} [inst : SubtractionMonoid G] (f g : α → G),
(Function.support fun x => f x - g x) ⊆ Function.support f ∪ Function.support g- Defined in
- Mathlib.Algebra.Group.Support
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SubtractionMonoid
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.
- Setstatement · cited by 53,352
- Function.supportstatement · cited by 610
- SubtractionMonoidstatement and proof · cited by 208
- Function.support_binop_subsetproof · cited by 6
- zero_sub_zeroproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- HahnSeries.support_sub_subsetproof · cited by 1
- Function.HasFiniteSupport.subproof · cited by 1
- MeasureTheory.FinStronglyMeasurable.subproof · cited by 1
- MeasureTheory.eLpNorm_sub_le_of_dist_bddproof · cited by 1