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Theorems · Theorem · combinatorics

Configuration.ProjectivePlane.card_lines

∀ (P : Type u_1) (L : Type u_2) [inst : Membership P L] [inst_1 : Configuration.ProjectivePlane P L] [Finite P]
  [inst_3 : Fintype L],
  Fintype.card L = Configuration.ProjectivePlane.order P L ^ 2 + Configuration.ProjectivePlane.order P L + 1
Defined in
Mathlib.Combinatorics.Configuration
Cited by
0 results in Mathlib
Foundations
Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MembershipConfiguration.ProjectivePlaneFiniteFintype
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Fintype · cited by 7736FintypeFinite · cited by 3029FiniteFintype.card · cited by 1386Fintype.cardConfiguration.ProjectivePlane · cited by 14Configuration.ProjectiveP…Configuration.ProjectivePlane.order · cited by 6ProjectivePlane.orderConfiguration.Dual · cited by 6Configuration.DualConfiguration.ProjectivePlane.Dual.order · cited by 2Dual.orderConfiguration.ProjectivePlane.card_points · cited by 1ProjectivePlane.card_poin…ProjectivePlane.card_linesCITED BYCITES

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