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Theorems · Theorem · dynamical systems

Dynamics.dynEntourage_zero

∀ {X : Type u_1} {T : X → X} {U : SetRel X X}, Dynamics.dynEntourage T U 0 = Set.univ
Defined in
Mathlib.Dynamics.TopologicalEntropy.DynamicalEntourage
Cited by
2 results in Mathlib
Foundations
Depth 61 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.isDynCoverOf_zero · cited by 2Dynamics.isDynCoverOf_zeroDynamics.netMaxcard_zero · cited by 1Dynamics.netMaxcard_zeroSet.preimage · cited by 4946Set.preimageSet.univ · cited by 3945Set.univSet.iInter · cited by 1084Set.iInterNat.iterate · cited by 740Nat.iterateSetRel · cited by 581SetRelSet.iInter_congr_Prop · cited by 170Set.iInter_congr_PropDynamics.dynEntourage · cited by 28Dynamics.dynEntourageSet.iInter_univ · cited by 24Set.iInter_univSet.iInter_of_empty · cited by 23Set.iInter_of_emptyProd.map_iterate · cited by 11Prod.map_iterateDynamics.dynEntourage_zeroCITED BYCITES

Cites10

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Cited by2

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