collinear_empty
∀ (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], Collinear k ∅The empty set is collinear.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Submoduleproof · cited by 7,192
- Bot.botproof · cited by 4,720
- AddTorsorstatement and proof · cited by 1,657
- DivisionRingstatement and proof · cited by 1,062
- Module.rankproof · cited by 496
- Collinearstatement · cited by 79
- rank_subsingleton'proof · cited by 13
- vectorSpan_emptyproof · cited by 5
- collinear_iff_rank_le_oneproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- coplanar_emptyproof · cited by 1