Theorems · Theorem · group theory
IsCancelVAdd.eq_zero_of_vadd
∀ {G : Type u_11} {P : Type u_12} [inst : AddMonoid G] [inst_1 : AddAction G P] [IsCancelVAdd G P] {g : G} {x : P},
g +ᵥ x = x → g = 0- Defined in
- Mathlib.Algebra.Group.Action.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 8 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.
- AddMonoidstatement and proof · cited by 2,864
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- zero_vaddproof · cited by 95
- IsCancelVAddstatement and proof · cited by 13
- IsCancelVAdd.right_cancelproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- isCancelVAdd_iff_eq_zero_of_vadd_eqproof · cited by 2
- IsCancelVAdd.stabilizer_eq_botproof · cited by 0