Theorems · Theorem · dynamical systems
Dynamics.isDynNetIn_singleton
∀ {X : Type u_1} {F : Set X} {x : X} (T : X → X) (U : SetRel X X) (n : ℕ), x ∈ F → Dynamics.IsDynNetIn T F U n {x}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Disjointproof · cited by 2,201
- SetRelstatement and proof · cited by 581
- Function.onFunproof · cited by 570
- Set.singleton_subset_iffproof · cited by 206
- UniformSpace.ballproof · cited by 113
- Dynamics.dynEntourageproof · cited by 28
- Dynamics.IsDynNetInstatement · cited by 18
- Set.pairwise_singletonproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Dynamics.netMaxcard_eq_zero_iffproof · cited by 1