Theorems · Theorem · dynamical systems
Dynamics.IsDynCoverOf.coverMincard_le_card
∀ {X : Type u_1} {T : X → X} {U : SetRel X X} {F : Set X} {n : ℕ} {s : Finset X},
Dynamics.IsDynCoverOf T F U n ↑s → Dynamics.coverMincard T F U n ≤ ↑s.card- Cited by
- 12 results in Mathlib
- Foundations
- Depth 55 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
- iInf₂_leproof · cited by 45
- Dynamics.coverMincardstatement · cited by 39
- Dynamics.IsDynCoverOfstatement and proof · cited by 36
Cited by12
Results whose statement or proof uses this declaration.
- Dynamics.coverMincard_univproof · cited by 2
- Dynamics.coverMincard_zeroproof · cited by 2
- Dynamics.coverMincard_closure_leproof · cited by 2
- Dynamics.le_coverMincard_imageproof · cited by 2
- Dynamics.coverMincard_image_leproof · cited by 2
- Dynamics.coverMincard_le_netMaxcardproof · cited by 2
- Dynamics.coverMincard_mul_le_powproof · cited by 2
- Dynamics.IsDynCoverOf.coverEntropyEntourage_le_log_card_divproof · cited by 1
- Dynamics.coverMincard_union_leproof · cited by 1
- Dynamics.nonempty_inter_of_coverMincardproof · cited by 0
- Dynamics.coverMincard_finite_of_isCompact_invariantproof · cited by 0
- Dynamics.coverMincard_finite_of_isCompact_uniformContinuousproof · cited by 0