Theorems · Theorem · combinatorics
Configuration.ProjectivePlane.card_points_eq_card_lines
∀ (P : Type u_1) (L : Type u_2) [inst : Membership P L] [Configuration.ProjectivePlane P L] [inst : Fintype P] [inst_1 : Fintype L], Fintype.card P = Fintype.card L
- Defined in
- Mathlib.Combinatorics.Configuration
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- le_antisymmproof · cited by 2,068
- Fintype.cardstatement · cited by 1,386
- Configuration.ProjectivePlanestatement and proof · cited by 14
- Configuration.HasLines.card_leproof · cited by 2
- Configuration.HasPoints.card_leproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Configuration.ProjectivePlane.lineCount_eq_lineCountproof · cited by 3
- Configuration.ProjectivePlane.lineCount_eq_pointCountproof · cited by 1