Theorems · Theorem · linear algebra

Module.Basis.orientation_reindex

∀ {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} {ι' : Type u_5} [inst_5 : Fintype ι]
  [inst_6 : DecidableEq ι] [inst_7 : Fintype ι'] [inst_8 : DecidableEq ι'] (e : Module.Basis ι R M) (eι : ι ≃ ι'),
  (e.reindex eι).orientation = (Orientation.reindex R M eι) e.orientation

Defined in

Mathlib.LinearAlgebra.Orientation

Cited by

0 results in Mathlib

Foundations

Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingPartialOrderIsStrictOrderedRingAddCommGroupModuleFintypeDecidableEqFintypeDecidableEq