Theorems · Definition · combinatorics
Rel.edgeDensity
{α : Type u_4} → {β : Type u_5} → (r : α → β → Prop) → [(a : α) → DecidablePred (r a)] → Finset α → Finset β → ℚEdge density of a relation between two finsets of vertices.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 65 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.
Cites3
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
- Rel.interedgesproof · cited by 27
Cited by13
Results whose statement or proof uses this declaration.
- SimpleGraph.edgeDensityproof · cited by 31
- Rel.edgeDensity_le_onestatement · cited by 3
- Rel.edgeDensity_nonnegstatement · cited by 2
- Rel.abs_edgeDensity_sub_edgeDensity_le_one_sub_mulstatement and proof · cited by 1
- Rel.abs_edgeDensity_sub_edgeDensity_le_two_mul_sub_sqstatement and proof · cited by 1
- Rel.edgeDensity_add_edgeDensity_complstatement and proof · cited by 1
- Rel.edgeDensity_commstatement and proof · cited by 1
- Rel.edgeDensity_empty_leftstatement · cited by 1
- Rel.edgeDensity_empty_rightstatement · cited by 1
- Rel.edgeDensity_sub_edgeDensity_le_one_sub_mulstatement and proof · cited by 1
- Rel.mul_edgeDensity_le_edgeDensitystatement and proof · cited by 1
- Rel.abs_edgeDensity_sub_edgeDensity_le_two_mulstatement and proof · cited by 0