Theorems · Theorem · number theory
SlashAction.neg_slash
∀ {β : Type u_1} {G : Type u_2} {α : Type u_3} [inst : Monoid G] [inst_1 : AddGroup α] [inst_2 : SlashAction β G α]
(k : β) (g : G) (a : α), SlashAction.map k g (-a) = -SlashAction.map k g a- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- MonoidAddGroupSlashAction
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- Monoidstatement and proof · cited by 3,887
- neg_add_cancelproof · cited by 256
- SlashAction.mapstatement and proof · cited by 74
- eq_neg_of_add_eq_zero_leftproof · cited by 21
- SlashActionstatement and proof · cited by 7
- SlashAction.add_slashproof · cited by 5
- SlashAction.zero_slashproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- EisensteinSeries.G2_slash_actionproof · cited by 1