Theorems · Theorem · commutative algebra

CauSeq.lim_const

∀ {α : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α] {β : Type u_2}
  [inst_3 : Ring β] {abv : β → α} [inst_4 : IsAbsoluteValue abv] [inst_5 : CauSeq.IsComplete β abv] (x : β),
  (CauSeq.const abv x).lim = x

Defined in

Mathlib.Algebra.Order.CauSeq.Completion

Cited by

5 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderIsStrictOrderedRingRingIsAbsoluteValueCauSeq.IsComplete