Theorems · Theorem · dynamical systems
AddAction.dense_orbit
∀ (M : Type u_1) {α : Type u_3} [inst : AddMonoid M] [inst_1 : TopologicalSpace α] [inst_2 : AddAction M α]
[AddAction.IsMinimal M α] (x : α), Dense (AddAction.orbit M x)- Defined in
- Mathlib.Dynamics.Minimal
- Cited by
- 3 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- AddMonoidstatement and proof · cited by 2,864
- AddActionstatement and proof · cited by 820
- Densestatement · cited by 359
- AddAction.orbitstatement · cited by 86
- AddAction.IsMinimalstatement and proof · cited by 16
- AddAction.IsMinimal.dense_orbitproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- dense_of_nonempty_vadd_invariantproof · cited by 1
- denseRange_vaddproof · cited by 1
- ErgodicVAdd.trans_isMinimalproof · cited by 0