Theorems · Theorem · functional analysis

Orientation.volumeForm_zero_neg

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : InnerProductSpace ℝ E] [_i : Fact (Module.finrank ℝ E = 0)],
  (-positiveOrientation).volumeForm = -AlternatingMap.constLinearEquivOfIsEmpty 1

Defined in

Mathlib.Analysis.InnerProductSpace.Orientation

Cited by

1 results in Mathlib

Foundations

Depth 247 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceFact