Mathlib Map

Theorems · Theorem · dynamical systems

Dynamics.one_le_netMaxcard_iff

∀ {X : Type u_1} (T : X → X) (F : Set X) (U : SetRel X X) (n : ℕ), 1 ≤ Dynamics.netMaxcard T F U n ↔ F.Nonempty
Defined in
Mathlib.Dynamics.TopologicalEntropy.NetEntropy
Cited by
2 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Dynamics.netMaxcard_univ · cited by 2Dynamics.netMaxcard_univDynamics.netMaxcard_zero · cited by 1Dynamics.netMaxcard_zeroSet · cited by 53352SetENat · cited by 4985ENatSet.Nonempty · cited by 2627Set.NonemptySetRel · cited by 581SetRelnot_iff_not · cited by 159not_iff_notSet.nonempty_iff_ne_empty · cited by 96Set.nonempty_iff_ne_emptyOrder.one_le_iff_ne_zero · cited by 32Order.one_le_iff_ne_zeroDynamics.netMaxcard · cited by 23Dynamics.netMaxcardDynamics.netMaxcard_eq_zero_iff · cited by 1Dynamics.netMaxcard_eq_ze…Dynamics.one_le_netMaxcard_iffCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.