Theorems · Definition · real analysis

CauSeq.inv

{α : Type u_1} →
  {β : Type u_2} →
    [inst : Field α] →
      [inst_1 : LinearOrder α] →
        [inst_2 : IsStrictOrderedRing α] →
          [inst_3 : DivisionRing β] →
            {abv : β → α} → [IsAbsoluteValue abv] → (f : CauSeq β abv) → ¬f.LimZero → CauSeq β abv

Given a Cauchy sequence f with nonzero limit, create a Cauchy sequence with values equal to the inverses of the values of f.

Defined in

Mathlib.Algebra.Order.CauSeq.Basic

Cited by

8 results in Mathlib

Foundations

Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderIsStrictOrderedRingDivisionRingIsAbsoluteValue