Theorems · Theorem · field theory

ArchimedeanClass.stdPart_eq_sSup

∀ {K : Type u_1} [inst : LinearOrder K] [inst_1 : Field K] [inst_2 : IsOrderedRing K] (f : ℝ →+*o K) (x : K),
  ArchimedeanClass.stdPart x = sSup {r | f r < x}

Defined in

Mathlib.Algebra.Order.Ring.StandardPart

Cited by

2 results in Mathlib

Foundations

Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderFieldIsOrderedRing