Theorems · Theorem · combinatorics
Configuration.ProjectivePlane.lineCount_eq
∀ {P : Type u_1} (L : Type u_2) [inst : Membership P L] [inst_1 : Configuration.ProjectivePlane P L] [Finite P]
[Finite L] (p : P), Configuration.lineCount L p = Configuration.ProjectivePlane.order P L + 1- Defined in
- Mathlib.Combinatorics.Configuration
- Cited by
- 3 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.
Cites11
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
- Nat.card_eq_fintype_cardproof · cited by 200
- Fintype.card_pos_iffproof · cited by 31
- Configuration.ProjectivePlanestatement and proof · cited by 14
- Configuration.lineCountstatement and proof · cited by 11
- Configuration.ProjectivePlane.orderstatement · cited by 6
- Configuration.ProjectivePlane.exists_configproof · cited by 5
- Configuration.ProjectivePlane.lineCount_eq_lineCountproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Configuration.ProjectivePlane.pointCount_eqproof · cited by 3
- Configuration.ProjectivePlane.card_pointsproof · cited by 1
- Configuration.ProjectivePlane.two_lt_lineCountproof · cited by 0