Theorems · Theorem · dynamical systems
Dynamics.IsDynNetIn.card_le_netMaxcard
∀ {X : Type u_1} {T : X → X} {U : SetRel X X} {n : ℕ} {F : Set X} {s : Finset X},
Dynamics.IsDynNetIn T F U n ↑s → ↑s.card ≤ Dynamics.netMaxcard T F U n- Cited by
- 3 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- ENatstatement · cited by 4,985
- Finset.cardstatement · cited by 2,327
- SetRelstatement and proof · cited by 581
- le_iSup₂proof · cited by 56
- Dynamics.netMaxcardstatement · cited by 23
- Dynamics.IsDynNetInstatement and proof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- Dynamics.coverMincard_le_netMaxcardproof · cited by 2
- Dynamics.netMaxcard_eq_zero_iffproof · cited by 1
- Dynamics.netMaxcard_infinite_iffproof · cited by 0