Theorems · Theorem · field theory

ArchimedeanClass.stdPart_add

∀ {K : Type u_1} [inst : LinearOrder K] [inst_1 : Field K] [inst_2 : IsOrderedRing K] {x y : K},
  0 ≤ ArchimedeanClass.mk x →
    0 ≤ ArchimedeanClass.mk y →
      ArchimedeanClass.stdPart (x + y) = ArchimedeanClass.stdPart x + ArchimedeanClass.stdPart y

Defined in

Mathlib.Algebra.Order.Ring.StandardPart

Cited by

2 results in Mathlib

Foundations

Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderFieldIsOrderedRing