Theorems · Definition · dynamical systems
Dynamics.IsDynCoverOf
{X : Type u_1} → (X → X) → Set X → SetRel X X → ℕ → Set X → PropGiven a subset F, an entourage U and an integer n, a subset s is a (U, n)-
dynamical cover of F if any orbit of length n in F is U-shadowed by an orbit of length n
of a point in s.
- Cited by
- 36 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.
Cites4
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
- SetRelstatement and proof · cited by 581
- Dynamics.dynEntourageproof · cited by 28
- SetRel.IsCoverproof · cited by 17
Cited by37
Results whose statement or proof uses this declaration.
- Dynamics.coverMincardproof · cited by 39
- Dynamics.IsDynCoverOf.coverMincard_le_cardstatement and proof · cited by 12
- Dynamics.coverMincard_finite_iffstatement and proof · cited by 6
- Dynamics.IsDynCoverOf.of_entourage_subsetstatement and proof · cited by 4
- Dynamics.coverMincard_monotone_timeproof · cited by 3
- Dynamics.coverMincard_antitoneproof · cited by 2
- Dynamics.coverMincard_closure_leproof · cited by 2
- Dynamics.coverMincard_image_leproof · cited by 2
- Dynamics.coverMincard_monotone_subsetproof · cited by 2
- Dynamics.coverMincard_mul_le_powproof · cited by 2
- Dynamics.coverMincard_univproof · cited by 2
- Dynamics.coverMincard_zeroproof · cited by 2