Theorems · Definition · field theory

ArchimedeanClass.FiniteResidueField

(K : Type u_1) → [inst : LinearOrder K] → [inst_1 : Field K] → [IsOrderedRing K] → Type u_1

The residue field of FiniteElement. This quotient inherits an order from K, which makes it into a linearly ordered Archimedean field.

Defined in

Mathlib.Algebra.Order.Ring.StandardPart

Cited by

17 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderFieldIsOrderedRing