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Theorems · Theorem · dynamical systems

Dynamics.dynEntourage_comp_subset

∀ {X : Type u_1} (T : X → X) (U V : SetRel X X) (n : ℕ),
  (Dynamics.dynEntourage T U n).comp (Dynamics.dynEntourage T V n) ⊆ Dynamics.dynEntourage T (U.comp V) n
Defined in
Mathlib.Dynamics.TopologicalEntropy.DynamicalEntourage
Cited by
3 results in Mathlib
Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Dynamics.mem_ball_dynEntourage_comp · cited by 1Dynamics.mem_ball_dynEnto…Dynamics.IsDynCoverOf.preimage · cited by 1IsDynCoverOf.preimageDynamics.IsDynCoverOf.closure · cited by 1IsDynCoverOf.closureSet.ofPred · cited by 6101Set.ofPredSet.preimage · cited by 4946Set.preimageSet.iInter · cited by 1084Set.iInterNat.iterate · cited by 740Nat.iterateSetRel · cited by 581SetRelSet.iInter_congr_Prop · cited by 170Set.iInter_congr_PropSetRel.comp · cited by 136SetRel.compDynamics.dynEntourage · cited by 28Dynamics.dynEntourageProd.map_iterate · cited by 11Prod.map_iterateUniformSpace.mem_ball_comp · cited by 5UniformSpace.mem_ball_compDynamics.dynEntourage_comp_su…CITED BYCITES

Cites10

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Cited by3

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