Projectivization.cross_orthogonal_left
∀ {F : Type u_1} [inst : Field F] [inst_1 : DecidableEq F] {v w : Projectivization F (Fin 3 → F)},
v ≠ w → (v.cross w).orthogonal v- Cited by
- 2 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Projectivizationstatement and proof · cited by 111
- Projectivization.mkproof · cited by 55
- crossProductproof · cited by 27
- Projectivization.indproof · cited by 15
- dotProduct_commproof · cited by 13
- Projectivization.crossstatement · cited by 10
- Projectivization.orthogonalstatement and proof · cited by 10
- Projectivization.mk_eq_mk_iff_crossProduct_eq_zeroproof · cited by 5
- dot_self_crossproof · cited by 2
- Projectivization.cross_mk_of_neproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Projectivization.cross_orthogonal_rightproof · cited by 1
- Projectivization.orthogonal_cross_leftproof · cited by 0