Projectivization.submodule_eq
∀ {K : Type u_1} {V : Type u_2} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
(v : Projectivization K V), v.submodule = K ∙ v.rep- Cited by
- 2 results in Mathlib
- Foundations
- Depth 71 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
- Submodulestatement and proof · cited by 7,192
- Submodule.spanstatement and proof · cited by 1,504
- DivisionRingstatement and proof · cited by 1,062
- Projectivizationstatement and proof · cited by 111
- Projectivization.mkproof · cited by 55
- Projectivization.repstatement and proof · cited by 13
- Projectivization.rep_nonzeroproof · cited by 12
- Projectivization.submodulestatement and proof · cited by 11
- Projectivization.mk_repproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Projectivization.finrank_submoduleproof · cited by 1
- Projectivization.independent_iff_iSupIndepproof · cited by 0