Theorems · Definition · field theory

ConditionallyCompleteLinearOrderedField.uniqueOrderRingIso

(β : Type u_3) →
  (γ : Type u_4) →
    [inst : Field β] →
      [inst_1 : ConditionallyCompleteLinearOrder β] →
        [IsStrictOrderedRing β] →
          [inst_3 : Field γ] →
            [inst_4 : ConditionallyCompleteLinearOrder γ] → [IsStrictOrderedRing γ] → Unique (β ≃+*o γ)

There is a unique ordered ring isomorphism between two conditionally complete linear ordered fields.

Defined in

Mathlib.Algebra.Order.CompleteField

Cited by

0 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldConditionallyCompleteLinearOrderIsStrictOrderedRingFieldConditionallyCompleteLinearOrderIsStrictOrderedRing