Theorems · Theorem · dynamical systems
Dynamics.netMaxcard_finite_iff
∀ {X : Type u_1} (T : X → X) (F : Set X) (U : SetRel X X) (n : ℕ),
Dynamics.netMaxcard T F U n < ⊤ ↔ ∃ s, Dynamics.IsDynNetIn T F U n ↑s ∧ ↑s.card = Dynamics.netMaxcard T F U n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites36
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
- Finsetstatement and proof · cited by 13,712
- Top.topstatement and proof · cited by 9,680
- SetLike.coestatement and proof · cited by 8,199
- Set.ofPredproof · cited by 6,101
- Set.imageproof · cited by 5,609
- ENatstatement and proof · cited by 4,985
- WithTopproof · cited by 3,754
- Filter.Eventuallyproof · cited by 3,134
- Set.Nonemptyproof · cited by 2,627
- iSupproof · cited by 2,415
- Finset.cardstatement and proof · cited by 2,327
Cited by1
Results whose statement or proof uses this declaration.
- Dynamics.coverMincard_le_netMaxcardproof · cited by 2