Theorems · Definition · combinatorics
Configuration.lineCount
{P : Type u_1} → (L : Type u_2) → [Membership P L] → P → ℕNumber of points on a given line.
- Defined in
- Mathlib.Combinatorics.Configuration
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Membership
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cardproof · cited by 844
Cited by12
Results whose statement or proof uses this declaration.
- Configuration.ProjectivePlane.orderproof · cited by 6
- Configuration.HasLines.pointCount_le_lineCountstatement and proof · cited by 4
- Configuration.HasLines.lineCount_eq_pointCountstatement and proof · cited by 3
- Configuration.sum_lineCount_eq_sum_pointCountstatement · cited by 3
- Configuration.ProjectivePlane.lineCount_eqstatement and proof · cited by 3
- Configuration.ProjectivePlane.lineCount_eq_lineCountstatement and proof · cited by 3
- Configuration.HasLines.card_leproof · cited by 2
- Configuration.HasLines.exists_bijective_of_card_eqstatement and proof · cited by 1
- Configuration.ProjectivePlane.lineCount_eq_pointCountstatement · cited by 1
- Configuration.HasPoints.lineCount_le_pointCountstatement · cited by 0
- Configuration.ProjectivePlane.two_lt_lineCountstatement · cited by 0
- Configuration.HasPoints.lineCount_eq_pointCountstatement · cited by 0