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Theorems · Theorem · combinatorics

Configuration.HasPoints.existsUnique_point

∀ (P : Type u_1) (L : Type u_2) [inst : Membership P L] [Configuration.HasPoints P L] (l₁ l₂ : L),
  l₁ ≠ l₂ → ∃! p, p ∈ l₁ ∧ p ∈ l₂
Defined in
Mathlib.Combinatorics.Configuration
Cited by
1 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
MembershipConfiguration.HasPoints
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Around this declaration

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

Configuration.HasLines.existsUnique_line · cited by 0HasLines.existsUnique_lineExistsUnique · cited by 268ExistsUniqueConfiguration.HasPoints · cited by 5Configuration.HasPointsConfiguration.Nondegenerate.eq_or_eq · cited by 5Nondegenerate.eq_or_eqConfiguration.HasPoints.mkPoint · cited by 3HasPoints.mkPointConfiguration.HasPoints.mkPoint_ax · cited by 2HasPoints.mkPoint_axHasPoints.existsUnique_pointCITED BYCITES

Cites5

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Cited by1

Results whose statement or proof uses this declaration.