Mathlib Map

Theorems · Definition · geometry

Projectivization.cross

{F : Type u_1} →
  [inst : Field F] →
    [DecidableEq F] → Projectivization F (Fin 3 → F) → Projectivization F (Fin 3 → F) → Projectivization F (Fin 3 → F)

Cross product on the projective plane.

Defined in
Mathlib.LinearAlgebra.Projectivization.Constructions
Cited by
10 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Projectivization.cross_mk · cited by 2Projectivization.cross_mkProjectivization.cross_mk_of_ne · cited by 2Projectivization.cross_mk…Projectivization.cross_orthogonal_left · cited by 2Projectivization.cross_or…Projectivization.cross_comm · cited by 1Projectivization.cross_co…Projectivization.cross_mk_of_cross_eq_zero · cited by 1Projectivization.cross_mk…Projectivization.cross_mk_of_cross_ne_zero · cited by 1Projectivization.cross_mk…Projectivization.cross_orthogonal_right · cited by 1Projectivization.cross_or…Projectivization.cross_self · cited by 0Projectivization.cross_se…Projectivization.orthogonal_cross_left · cited by 0Projectivization.orthogon…Projectivization.orthogonal_cross_right · cited by 0Projectivization.orthogon…DFunLike.coe · cited by 62936DFunLike.coeField · cited by 7404FieldProjectivization · cited by 111ProjectivizationcrossProduct · cited by 27crossProductQuotient.map₂ · cited by 3Quotient.map₂Projectivization.crossCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by10

Results whose statement or proof uses this declaration.