Theorems · Theorem · geometry

Orientation.kahler_ne_zero_iff

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : InnerProductSpace ℝ E] [inst_2 : Fact (Module.finrank ℝ E = 2)]
  (o : Orientation ℝ E (Fin 2)) (x y : E), (o.kahler x) y ≠ 0 ↔ x ≠ 0 ∧ y ≠ 0

Defined in

Mathlib.Analysis.InnerProductSpace.TwoDim

Cited by

0 results in Mathlib

Foundations

Depth 277 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceFact