Theorems · Theorem · linear algebra

Orientation.map_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] (ι : Type u_4) [IsEmpty ι] (x : Orientation R M ι) (f : M ≃ₗ[R] M),
  (Orientation.map ι f) x = x

Defined in

Mathlib.LinearAlgebra.Orientation

Cited by

2 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringPartialOrderIsStrictOrderedRingAddCommMonoidModuleIsEmpty