Theorems · Theorem · combinatorics
Configuration.ProjectivePlane.lineCount_eq_pointCount
∀ {P : Type u_1} {L : Type u_2} [inst : Membership P L] [Configuration.ProjectivePlane P L] [Finite P] [Finite L]
(p : P) (l : L), Configuration.lineCount L p = Configuration.pointCount P l- Defined in
- Mathlib.Combinatorics.Configuration
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypeproof · cited by 7,736
- Finitestatement and proof · cited by 3,029
- nonempty_fintypeproof · cited by 261
- Configuration.ProjectivePlanestatement and proof · cited by 14
- Configuration.lineCountstatement · cited by 11
- Configuration.pointCountstatement · cited by 11
- Configuration.HasLines.lineCount_eq_pointCountproof · cited by 3
- Configuration.ProjectivePlane.lineCount_eq_lineCountproof · cited by 3
- Configuration.Nondegenerate.exists_pointproof · cited by 2
- Configuration.ProjectivePlane.card_points_eq_card_linesproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Configuration.ProjectivePlane.Dual.orderproof · cited by 2