Theorems · Theorem · dynamical systems
Dynamics.coverEntropy_biUnion_le
∀ {X : Type u_1} {ι : Type u_2} [inst : UniformSpace X] (s : Set ι) (T : X → X) (F : ι → Set X),
⨆ i ∈ s, Dynamics.coverEntropy T (F i) ≤ Dynamics.coverEntropy T (⋃ i ∈ s, F i)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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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
- Set.iUnionstatement and proof · cited by 2,483
- iSupstatement · cited by 2,415
- UniformSpacestatement and proof · cited by 2,040
- ERealstatement · cited by 793
- iSup₂_leproof · cited by 96
- Set.subset_biUnion_of_memproof · cited by 24
- Dynamics.coverEntropystatement · cited by 22
- Dynamics.coverEntropy_monotoneproof · cited by 3
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