Theorems · Theorem · real analysis

CauSeq.const_equiv

∀ {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} [inst_4 : IsAbsoluteValue abv] {x y : β},
  CauSeq.const abv x ≈ CauSeq.const abv y ↔ x = y

Defined in

Mathlib.Algebra.Order.CauSeq.Basic

Cited by

3 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderIsStrictOrderedRingRingIsAbsoluteValue