Theorems · Definition · field theory

ArchimedeanClass.FiniteResidueField.mk

{K : Type u_1} →
  [inst : LinearOrder K] →
    [inst_1 : Field K] →
      [inst_2 : IsOrderedRing K] → ArchimedeanClass.FiniteElement K →+*o ArchimedeanClass.FiniteResidueField K

The quotient map from finite elements on the field to the associated residue field.

Defined in

Mathlib.Algebra.Order.Ring.StandardPart

Cited by

22 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderFieldIsOrderedRing