Theorems · Theorem · combinatorics
SimpleGraph.antitoneOn_extremalNumber_div_choose_two
∀ {W : Type u_1} (H : SimpleGraph W),
AntitoneOn (fun n => ↑(SimpleGraph.extremalNumber n H) / ↑(n.choose 2)) (Set.Ici 2)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites54
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Finset.univproof · cited by 3,473
- SimpleGraphstatement and proof · cited by 3,072
- Nat.cast_oneproof · cited by 2,501
- Finset.cardproof · cited by 2,327
- mul_commproof · cited by 2,262
- Nat.cast_zeroproof · cited by 1,870
- mul_assocproof · cited by 1,667
- Fintype.cardproof · cited by 1,386
- SimpleGraph.Adjproof · cited by 1,346
- Set.Icistatement · cited by 1,070
- Sym2proof · cited by 737
Cited by3
Results whose statement or proof uses this declaration.
- SimpleGraph.isGLB_turanDensityproof · cited by 2
- SimpleGraph.tendsto_turanDensityproof · cited by 1
- SimpleGraph.eventually_isContained_of_card_edgeFinsetproof · cited by 1