Projectivization.linearIndependent_pair_iff_ne
∀ {K : Type u_1} {V : Type u_2} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
{D D' : Projectivization K V}, LinearIndependent K ![D.rep, D'.rep] ↔ D ≠ D'- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- one_smulproof · cited by 1,374
- DivisionRingstatement and proof · cited by 1,062
- Matrix.vecConsstatement · cited by 852
- Matrix.vecEmptystatement · cited by 832
- zero_smulproof · cited by 716
- LinearIndependentstatement · cited by 560
- IsUnit.unitproof · cited by 252
- Projectivizationstatement and proof · cited by 111
- Ne.isUnitproof · cited by 99
- Projectivization.mkproof · cited by 55
Cited by1
Results whose statement or proof uses this declaration.
- Projectivization.linearIndepOn_pairproof · cited by 0