Theorems · Theorem · linear algebra

Module.Basis.orientation_isEmpty

∀ {R : Type u_1} [inst : CommRing R] [inst_1 : PartialOrder R] [inst_2 : IsStrictOrderedRing R] {M : Type u_2}
  [inst_3 : AddCommGroup M] [inst_4 : Module R M] {ι : Type u_4} [inst_5 : Fintype ι] [inst_6 : DecidableEq ι]
  [inst_7 : IsEmpty ι] (b : Module.Basis ι R M), b.orientation = positiveOrientation

Defined in

Mathlib.LinearAlgebra.Orientation

Cited by

2 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingPartialOrderIsStrictOrderedRingAddCommGroupModuleFintypeDecidableEqIsEmpty