Theorems · Definition · linear algebra

Orientation

(R : Type u_1) →
  [inst : CommSemiring R] →
    [inst_1 : PartialOrder R] →
      [IsStrictOrderedRing R] →
        (M : Type u_2) → [inst_3 : AddCommMonoid M] → [Module R M] → Type u_4 → Type (max (max u_4 u_1) u_2)

An orientation of a module, intended to be used when ι is a Fintype with the same cardinality as a basis.

Defined in

Mathlib.LinearAlgebra.Orientation

Cited by

360 results in Mathlib

Foundations

Depth 33 from the axioms, rests on 555 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringPartialOrderIsStrictOrderedRingAddCommMonoidModule