Theorems · Theorem · functional analysis

Orientation.volumeForm_neg_orientation

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : InnerProductSpace ℝ E] {n : ℕ}
  [_i : Fact (Module.finrank ℝ E = n)] (o : Orientation ℝ E (Fin n)), (-o).volumeForm = -o.volumeForm

Defined in

Mathlib.Analysis.InnerProductSpace.Orientation

Cited by

6 results in Mathlib

Foundations

Depth 248 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceFact