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Theorems · Theorem · geometry

Projectivization.orthogonal_mk

∀ {F : Type u_1} [inst : Field F] {m : Type u_2} [inst_1 : Fintype m] {v w : m → F} (hv : v ≠ 0) (hw : w ≠ 0),
  (Projectivization.mk F v hv).orthogonal (Projectivization.mk F w hw) ↔ v ⬝ᵥ w = 0
Defined in
Mathlib.LinearAlgebra.Projectivization.Constructions
Cited by
2 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFintype
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Around this declaration

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Projectivization.orthogonal_comm · cited by 2Projectivization.orthogon…Projectivization.cross_orthogonal_left · cited by 2Projectivization.cross_or…Fintype · cited by 7736FintypeField · cited by 7404FielddotProduct · cited by 194dotProductProjectivization.mk · cited by 55Projectivization.mkProjectivization.orthogonal · cited by 10Projectivization.orthogon…Projectivization.orthogonal_mkCITED BYCITES

Cites5

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Cited by2

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