Mathlib Map

Theorems · Definition · combinatorics

Configuration.HasLines.mkLine

{P : Type u_1} →
  {L : Type u_2} → {inst : Membership P L} → [self : Configuration.HasLines P L] → {p₁ p₂ : P} → p₁ ≠ p₂ → L

Line through two points

Defined in
Mathlib.Combinatorics.Configuration
Cited by
3 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
Configuration.HasLines
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Configuration.HasLines.pointCount_le_lineCount · cited by 4HasLines.pointCount_le_li…Configuration.HasLines.card_le · cited by 2HasLines.card_leConfiguration.HasLines.mkLine_ax · cited by 2HasLines.mkLine_axConfiguration.HasLines · cited by 6Configuration.HasLinesHasLines.mkLineCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.