Theorems · Theorem · combinatorics
SimpleGraph.isGLB_turanDensity
∀ {W : Type u_1} (H : SimpleGraph W),
IsGLB {x | ∃ n ∈ Set.Ici 2, ↑(SimpleGraph.extremalNumber n H) / ↑(n.choose 2) = x} H.turanDensity- Cited by
- 2 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.ofPredstatement and proof · cited by 6,101
- Set.imageproof · cited by 5,609
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- SimpleGraphstatement and proof · cited by 3,072
- Filter.atTopproof · cited by 2,405
- Set.Icistatement and proof · cited by 1,070
- InfSet.sInfproof · cited by 935
- Nat.choosestatement and proof · cited by 494
- BddBelowproof · cited by 401
Cited by2
Results whose statement or proof uses this declaration.
- SimpleGraph.turanDensity_eq_csInfproof · cited by 1
- SimpleGraph.tendsto_turanDensityproof · cited by 1