Theorems · Theorem · dynamical systems
Dynamics.netEntropyEntourage_le_coverEntropy
∀ {X : Type u_1} {U : SetRel X X} [inst : UniformSpace X] (T : X → X) (F : Set X),
U ∈ uniformity X → Dynamics.netEntropyEntourage T F U ≤ Dynamics.coverEntropy T F- Cited by
- 0 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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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
- Filterstatement · cited by 8,121
- UniformSpacestatement and proof · cited by 2,040
- ERealstatement · cited by 793
- uniformitystatement and proof · cited by 765
- SetRelstatement and proof · cited by 581
- le_iSup₂proof · cited by 56
- Dynamics.coverEntropystatement · cited by 22
- Dynamics.netEntropyEntouragestatement · cited by 11
- Dynamics.coverEntropy_eq_iSup_netEntropyEntourageproof · cited by 2
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