Theorems · Definition · geometry
Projectivization
(K : Type u_1) → (V : Type u_2) → [inst : DivisionRing K] → [inst_1 : AddCommGroup V] → [Module K V] → Type u_2
The projectivization of the K-vector space V.
The notation ℙ K V is preferred.
- Cited by
- 111 results in Mathlib
- Foundations
- Depth 67 from the axioms, rests on 922 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- DivisionRingstatement and proof · cited by 1,062
- projectivizationSetoidproof · cited by 1
Cited by149
Results whose statement or proof uses this declaration.
- Projectivization.mkstatement · cited by 55
- Projectivization.Subspace.spanstatement and proof · cited by 16
- Projectivization.indstatement and proof · cited by 15
- Projectivization.repstatement and proof · cited by 13
- Projectivization.rep_nonzerostatement and proof · cited by 12
- Projectivization.submodulestatement and proof · cited by 11
- Projectivization.orthogonalstatement · cited by 10
- Projectivization.crossstatement · cited by 10
- Projectivization.mk_repstatement and proof · cited by 8
- Projectivization.IsCollinearstatement and proof · cited by 8
- Projectivization.mapstatement · cited by 7
- OnePoint.equivProjectivizationstatement and proof · cited by 7