Theorems · Theorem · group theory
AddAction.vadd_orbit
∀ {G : Type u_1} {α : Type u_2} [inst : AddGroup G] [inst_1 : AddAction G α] (g : G) (a : α),
g +ᵥ AddAction.orbit G a = AddAction.orbit G a- Defined in
- Mathlib.GroupTheory.GroupAction.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- LE.le.antisymmproof · cited by 507
- Set.vaddSetstatement · cited by 403
- Set.image_monoproof · cited by 197
- AddAction.orbitstatement and proof · cited by 86
- vadd_neg_vaddproof · cited by 31
- AddAction.vadd_orbit_subsetproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- AddAction.IsFixedBlock.orbitproof · cited by 1
- AddAction.IsBlock.of_orbitproof · cited by 0
- AddAction.stabilizer_orbit_eqproof · cited by 0