Theorems · Theorem · linear algebra

Orientation.map_positiveOrientation_of_isEmpty

∀ {R : Type u_1} [inst : CommSemiring R] [inst_1 : PartialOrder R] [inst_2 : IsStrictOrderedRing R] {M : Type u_2}
  [inst_3 : AddCommMonoid M] [inst_4 : Module R M] {N : Type u_3} [inst_5 : AddCommMonoid N] [inst_6 : Module R N]
  (ι : Type u_4) [inst_7 : IsEmpty ι] (f : M ≃ₗ[R] N), (Orientation.map ι f) positiveOrientation = positiveOrientation

Defined in

Mathlib.LinearAlgebra.Orientation

Cited by

0 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringPartialOrderIsStrictOrderedRingAddCommMonoidModuleAddCommMonoidModuleIsEmpty