Theorems · Theorem · combinatorics
Configuration.ProjectivePlane.lineCount_eq_lineCount
∀ {P : Type u_1} (L : Type u_2) [inst : Membership P L] [Configuration.ProjectivePlane P L] [Finite P] [Finite L]
(p q : P), Configuration.lineCount L p = Configuration.lineCount L q- Defined in
- Mathlib.Combinatorics.Configuration
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Fintype.cardproof · cited by 1,386
- nonempty_fintypeproof · cited by 261
- Configuration.ProjectivePlanestatement and proof · cited by 14
- Configuration.lineCountstatement and proof · cited by 11
- Configuration.pointCountproof · cited by 11
- or_notproof · cited by 5
- Configuration.Nondegenerate.eq_or_eqproof · cited by 5
- Configuration.ProjectivePlane.exists_configproof · cited by 5
- Configuration.HasLines.lineCount_eq_pointCountproof · cited by 3
- Configuration.ProjectivePlane.card_points_eq_card_linesproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Configuration.ProjectivePlane.lineCount_eqproof · cited by 3
- Configuration.ProjectivePlane.lineCount_eq_pointCountproof · cited by 1
- Configuration.ProjectivePlane.pointCount_eq_pointCountproof · cited by 0