Theorems · Theorem · field theory

ArchimedeanClass.FiniteResidueField.mk_ne_zero

∀ {K : Type u_1} [inst : LinearOrder K] [inst_1 : Field K] [inst_2 : IsOrderedRing K]
  {x : ArchimedeanClass.FiniteElement K}, ArchimedeanClass.FiniteResidueField.mk x ≠ 0 ↔ ArchimedeanClass.mk ↑x = 0

Defined in

Mathlib.Algebra.Order.Ring.StandardPart

Cited by

2 results in Mathlib

Foundations

Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderFieldIsOrderedRing