Projectivization.cross_mk_of_cross_ne_zero
∀ {F : Type u_1} [inst : Field F] [inst_1 : DecidableEq F] {v w : Fin 3 → F} (hv : v ≠ 0) (hw : w ≠ 0)
(h : (crossProduct v) w ≠ 0),
(Projectivization.mk F v hv).cross (Projectivization.mk F w hw) = Projectivization.mk F ((crossProduct v) w) h- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 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.
Cites9
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.cross_mkproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Projectivization.cross_mk_of_neproof · cited by 2