Projectivization.cross_mk_of_ne
∀ {F : Type u_1} [inst : Field F] [inst_1 : DecidableEq F] {v w : Fin 3 → F} (hv : v ≠ 0) (hw : w ≠ 0)
(h : Projectivization.mk F v hv ≠ Projectivization.mk F w hw),
(Projectivization.mk F v hv).cross (Projectivization.mk F w hw) = Projectivization.mk F ((crossProduct v) w) ⋯- Cited by
- 2 results in Mathlib
- Foundations
- Depth 94 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- Fieldstatement and proof · cited by 7,404
- Projectivizationstatement and proof · cited by 111
- Projectivization.mkstatement and proof · cited by 55
- crossProductstatement and proof · cited by 27
- Projectivization.crossstatement · cited by 10
- Projectivization.mk_eq_mk_iff_crossProduct_eq_zerostatement and proof · cited by 5
- Projectivization.cross_mk_of_cross_ne_zeroproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Projectivization.cross_orthogonal_leftproof · cited by 2
- Projectivization.cross_commproof · cited by 1