Theorems · Definition · geometry
projectivizationSetoid
(K : Type u_1) →
(V : Type u_2) → [inst : DivisionRing K] → [inst_1 : AddCommGroup V] → [Module K V] → Setoid { v // v ≠ 0 }The setoid whose quotient is the projectivization of V.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Unitsproof · cited by 2,804
- DivisionRingstatement and proof · cited by 1,062
- MulAction.orbitRelproof · cited by 114
- Setoid.comapproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- Projectivizationproof · cited by 111
- Projectivization.indproof · cited by 15