Theorems · Definition · field theory

ArchimedeanClass.stdPart

{K : Type u_1} → [inst : LinearOrder K] → [inst_1 : Field K] → [IsOrderedRing K] → K → ℝ

The standard part of a FiniteElement is the unique real number with an infinitesimal difference. For any infinite inputs, this function outputs a junk value of 0.

Defined in

Mathlib.Algebra.Order.Ring.StandardPart

Cited by

42 results in Mathlib

Foundations

Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderFieldIsOrderedRing