Theorems · Definition · geometry
Projectivization.rep
{K : Type u_1} →
{V : Type u_2} →
[inst : DivisionRing K] → [inst_1 : AddCommGroup V] → [inst_2 : Module K V] → Projectivization K V → VChoose a representative of v : Projectivization K V in V.
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Quotient.outproof · cited by 141
- Projectivizationstatement and proof · cited by 111
Cited by13
Results whose statement or proof uses this declaration.
- Projectivization.rep_nonzerostatement · cited by 12
- Projectivization.mk_repstatement · cited by 8
- Projectivization.independent_iffstatement and proof · cited by 3
- Projectivization.submodule_eqstatement and proof · cited by 2
- Projectivization.dependent_iff_not_independentproof · cited by 2
- Projectivization.one_le_mulHeightproof · cited by 2
- Projectivization.exists_smul_eq_mk_repstatement and proof · cited by 2
- Projectivization.dependent_pair_iff_eqproof · cited by 1
- Projectivization.linearIndependent_pair_iff_nestatement and proof · cited by 1
- Projectivization.logHeight_eq_log_mulHeightproof · cited by 1
- Projectivization.dependent_iffstatement and proof · cited by 1
- Projectivization.independent_iff_iSupIndepproof · cited by 0