Theorems · Theorem · group theory
Function.support_neg
∀ {α : Type u_1} {G : Type u_3} [inst : SubtractionMonoid G] (f : α → G), Function.support (-f) = Function.support f- Defined in
- Mathlib.Algebra.Group.Support
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
- Assumes
- SubtractionMonoid
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
- Function.supportstatement · cited by 610
- SubtractionMonoidstatement and proof · cited by 208
- Function.support_fun_negproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- RootPairing.Base.exists_root_eq_sum_intproof · cited by 7
- RootPairing.Base.pos_or_neg_of_sum_smul_root_memproof · cited by 2
- HasCompactSupport.negproof · cited by 2
- Function.locallyFinsuppWithin.support_negproof · cited by 1
- Function.mulSupport_one_sub'proof · cited by 1
- RootPairing.Base.not_nonneg_iff_neg_of_sum_mem_range_rootproof · cited by 0