Theorems · Theorem · group theory
Function.support_add
∀ {α : Type u_1} {M : Type u_2} [inst : AddZeroClass M] (f g : α → M),
(Function.support fun x => f x + g x) ⊆ Function.support f ∪ Function.support g- Defined in
- Mathlib.Algebra.Group.Support
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClass
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
- zero_addproof · cited by 2,366
- AddZeroClassstatement and proof · cited by 1,237
- Function.supportstatement · cited by 610
- Function.support_binop_subsetproof · cited by 6
Cited by7
Results whose statement or proof uses this declaration.
- HahnSeries.support_add_subsetproof · cited by 3
- MeasureTheory.FinStronglyMeasurable.addproof · cited by 1
- RootPairing.Base.exists_root_eq_sum_nat_or_negproof · cited by 1
- AddSubmonoid.mem_closure_iff_exists_finset_subsetproof · cited by 1
- Submonoid.mem_closure_iff_exists_finset_subsetproof · cited by 1
- Function.HasFiniteSupport.addproof · cited by 1
- Function.support_nsmulproof · cited by 1