Theorems · Theorem · group theory
Finsupp.mapRange_neg
∀ {ι : Type u_1} {G : Type u_6} {H : Type u_7} [inst : NegZeroClass G] [inst_1 : NegZeroClass H] {f : G → H}
{hf : f 0 = 0}, (∀ (x : G), f (-x) = -f x) → ∀ (v : ι →₀ G), Finsupp.mapRange f hf (-v) = -Finsupp.mapRange f hf v- Defined in
- Mathlib.Algebra.Group.Finsupp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NegZeroClassNegZeroClass
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.
- DFunLike.coeproof · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- Finsupp.extproof · cited by 399
- Finsupp.mapRangestatement · cited by 91
- NegZeroClassstatement and proof · cited by 23
Cited by1
Results whose statement or proof uses this declaration.
- Finsupp.mapRange_neg'proof · cited by 0