Theorems · Definition · real analysis

CauSeq.const

{α : Type u_1} →
  {β : Type u_2} →
    [inst : Field α] →
      [inst_1 : LinearOrder α] →
        [inst_2 : IsStrictOrderedRing α] → [inst_3 : Ring β] → (abv : β → α) → [IsAbsoluteValue abv] → β → CauSeq β abv

The constant Cauchy sequence.

Defined in

Mathlib.Algebra.Order.CauSeq.Basic

Cited by

58 results in Mathlib

Foundations

Depth 47 from the axioms · uses propext, Quot.sound

Assumes

FieldLinearOrderIsStrictOrderedRingRingIsAbsoluteValue