Projectivization.rep_nonzero
∀ {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.rep ≠ 0- Cited by
- 12 results in Mathlib
- Foundations
- Depth 69 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
- DivisionRingstatement and proof · cited by 1,062
- Quotient.outproof · cited by 141
- Projectivizationstatement and proof · cited by 111
- Projectivization.repstatement · cited by 13
Cited by12
Results whose statement or proof uses this declaration.
- Projectivization.mk_repstatement · cited by 8
- Projectivization.independent_iffproof · cited by 3
- Projectivization.submodule_eqproof · cited by 2
- Projectivization.one_le_mulHeightproof · cited by 2
- Projectivization.exists_smul_eq_mk_repproof · cited by 2
- Projectivization.logHeight_eq_log_mulHeightproof · cited by 1
- Projectivization.dependent_pair_iff_eqproof · cited by 1
- Projectivization.dependent_iffproof · cited by 1
- Projectivization.linearIndependent_pair_iff_neproof · cited by 1
- Projectivization.finrank_submoduleproof · cited by 1
- Projectivization.independent_iff_iSupIndepproof · cited by 0
- Projectivization.linearIndepOn_pairproof · cited by 0