Theorems · Definition · group theory
AddAction.orbit
(γ : Type u_2) → {α : Type u_3} → [VAdd γ α] → α → Set αThe orbit of an element under an action.
- Defined in
- Mathlib.GroupTheory.GroupAction.Defs
- Cited by
- 86 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- VAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.rangeproof · cited by 4,705
- HVAdd.hVAddproof · cited by 1,820
- VAddstatement and proof · cited by 616
Cited by100
Results whose statement or proof uses this declaration.
- AddAction.orbitRelproof · cited by 47
- AddAction.orbitRel.Quotient.orbitproof · cited by 15
- AddAction.mem_orbitstatement · cited by 14
- IsAddQuotientCoveringMap.toMultiplicativeproof · cited by 12
- Nat.card_zmultiplesproof · cited by 11
- AddAction.mem_orbit_selfstatement · cited by 10
- Flow.orbitproof · cited by 10
- AddAction.mem_orbit_iffstatement · cited by 7
- IsAddQuotientCoveringMap.apply_eq_iff_mem_orbitstatement · cited by 5
- AddAction.nonempty_orbitstatement · cited by 5
- AddAction.orbitRel.Quotient.orbit_eq_orbit_outstatement and proof · cited by 4
- Topology.IsQuotientMap.trivializationOfVAddDisjointstatement and proof · cited by 4