coplanar_triple
∀ (k : Type u_1) {V : Type u_2} {P : Type u_3} [inst : DivisionRing k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
[inst_3 : AddTorsor V P] (p₁ p₂ p₃ : P), Coplanar k {p₁, p₂, p₃}Three points are coplanar.
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- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- AddTorsorstatement and proof · cited by 1,657
- DivisionRingstatement and proof · cited by 1,062
- Coplanarstatement · cited by 15
- collinear_pairproof · cited by 8
- Collinear.coplanar_insertproof · cited by 1
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