Theorems · Theorem · group theory
vadd_neg_vadd
∀ {G : Type u_3} {α : Type u_5} [inst : AddGroup G] [inst_1 : AddAction G α] (g : G) (a : α), g +ᵥ -g +ᵥ a = a- Defined in
- Mathlib.Algebra.Group.Action.Defs
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- add_neg_cancelproof · cited by 213
- zero_vaddproof · cited by 95
- vadd_vaddproof · cited by 40
Cited by32
Results whose statement or proof uses this declaration.
- AddAction.toPermproof · cited by 21
- neg_vadd_eq_iffproof · cited by 13
- eq_neg_vadd_iffproof · cited by 9
- IsClosed.vadd_left_of_isCompactproof · cited by 5
- AddAction.mem_stabilizer_setproof · cited by 5
- MeasureTheory.measure_preimage_vaddproof · cited by 3
- Finset.neg_vadd_mem_iffproof · cited by 3
- AddAction.vadd_orbitproof · cited by 3
- isIntegralCurveOn_comp_addproof · cited by 3
- IsIntegralCurveOn.comp_addproof · cited by 2
- Set.disjoint_vadd_set_rightproof · cited by 2
- Finset.mem_neg_vadd_finset_iffproof · cited by 2