Projectivization.orthogonal_comm
∀ {F : Type u_1} [inst : Field F] {m : Type u_2} [inst_1 : Fintype m] {v w : Projectivization F (m → F)},
v.orthogonal w ↔ w.orthogonal v- 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- dotProductproof · cited by 194
- Projectivizationstatement and proof · cited by 111
- Projectivization.mkproof · cited by 55
- Projectivization.indproof · cited by 15
- dotProduct_commproof · cited by 13
- Projectivization.orthogonalstatement and proof · cited by 10
- Projectivization.orthogonal_mkproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Projectivization.orthogonal_cross_leftproof · cited by 0
- Projectivization.orthogonal_cross_rightproof · cited by 0