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Theorems · Theorem · field theory

LinearOrderedField.inducedOrderRingIso_symm

Deprecated since 2026-02-24Use ConditionallyCompleteLinearOrderedField.inducedOrderRingIso_symm instead.

∀ (β : Type u_3) (γ : Type u_4) [inst : Field β] [inst_1 : ConditionallyCompleteLinearOrder β]
  [inst_2 : IsStrictOrderedRing β] [inst_3 : Field γ] [inst_4 : ConditionallyCompleteLinearOrder γ]
  [inst_5 : IsStrictOrderedRing γ],
  (ConditionallyCompleteLinearOrderedField.inducedOrderRingIso β γ).symm =
    ConditionallyCompleteLinearOrderedField.inducedOrderRingIso γ β

Alias of ConditionallyCompleteLinearOrderedField.inducedOrderRingIso_symm.

Defined in
Mathlib.Algebra.Order.CompleteField
Cited by
0 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldConditionallyCompleteLinearOrderIsStrictOrderedRingFieldConditionallyCompleteLinearOrderIsStrictOrderedRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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Field · cited by 7404FieldIsStrictOrderedRing · cited by 2490IsStrictOrderedRingConditionallyCompleteLinearOrder · cited by 542ConditionallyCompleteLine…OrderRingIso · cited by 43OrderRingIsoOrderRingIso.symm · cited by 12OrderRingIso.symmConditionallyCompleteLinearOrderedField.inducedOrderRingIso · cited by 6ConditionallyCompleteLine…ConditionallyCompleteLinearOrderedField.inducedOrderRingIso_symm · cited by 1ConditionallyCompleteLine…LinearOrderedField.inducedOrd…CITED BYCITES

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