Theorems · Theorem · group theory
Function.support_add_neg
∀ {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
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SubtractionMonoid
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- add_zeroproof · cited by 2,707
- Function.supportstatement · cited by 610
- neg_zeroproof · cited by 542
- SubtractionMonoidstatement and proof · cited by 208
- Function.support_binop_subsetproof · cited by 6
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