Theorems · Theorem · group theory
FreeAbelianGroup.lift_neg_apply
∀ {α : Type u} {G : Type u_1} [inst : AddCommGroup G] (f : α → G) (a : FreeAbelianGroup α),
(FreeAbelianGroup.lift (-f)) a = -(FreeAbelianGroup.lift f) a- Defined in
- Mathlib.GroupTheory.FreeAbelianGroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroup
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddCommGroupstatement and proof · cited by 12,871
- Equivstatement · cited by 8,337
- AddMonoidHomstatement and proof · cited by 3,230
- FreeAbelianGroupstatement and proof · cited by 82
- FreeAbelianGroup.liftstatement · cited by 33
- FreeAbelianGroup.lift_negproof · cited by 1
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