Theorems · Theorem · combinatorics
Rel.edgeDensity_le_one
∀ {α : Type u_4} {β : Type u_5} (r : α → β → Prop) [inst : (a : α) → DecidablePred (r a)] (s : Finset α) (t : Finset β),
Rel.edgeDensity r s t ≤ 1- Cited by
- 3 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.cardproof · cited by 2,327
- Nat.cast_zeroproof · cited by 1,870
- div_le_one_of_le₀proof · cited by 31
- Rel.interedgesproof · cited by 27
- Rel.edgeDensitystatement · cited by 12
- Rel.card_interedges_le_mulproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Rel.edgeDensity_sub_edgeDensity_le_one_sub_mulproof · cited by 1
- SimpleGraph.edgeDensity_le_oneproof · cited by 1
- Rel.abs_edgeDensity_sub_edgeDensity_le_two_mulproof · cited by 0