Theorems · Theorem · combinatorics
Configuration.HasLines.existsUnique_line
∀ (P : Type u_1) (L : Type u_2) [inst : Membership P L] [Configuration.HasLines P L] (p₁ p₂ : P), p₁ ≠ p₂ → ∃! l, p₁ ∈ l ∧ p₂ ∈ l
- Defined in
- Mathlib.Combinatorics.Configuration
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ExistsUniquestatement · cited by 268
- Configuration.Dualproof · cited by 6
- Configuration.HasLinesstatement and proof · cited by 6
- Configuration.HasPoints.existsUnique_pointproof · cited by 1
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