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Theorems · Theorem · field theory

ConditionallyCompleteLinearOrderedField.inducedOrderRingIso_self

∀ (β : Type u_3) [inst : Field β] [inst_1 : ConditionallyCompleteLinearOrder β] [inst_2 : IsStrictOrderedRing β],
  ConditionallyCompleteLinearOrderedField.inducedOrderRingIso β β = OrderRingIso.refl β
Defined in
Mathlib.Algebra.Order.CompleteField
Cited by
1 results in Mathlib
Foundations
Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldConditionallyCompleteLinearOrderIsStrictOrderedRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LinearOrderedField.inducedOrderRingIso_self · cited by 0LinearOrderedField.induce…Field · cited by 7404FieldIsStrictOrderedRing · cited by 2490IsStrictOrderedRingConditionallyCompleteLinearOrder · cited by 542ConditionallyCompleteLine…OrderRingIso · cited by 43OrderRingIsoOrderRingIso.refl · cited by 9OrderRingIso.reflConditionallyCompleteLinearOrderedField.inducedOrderRingIso · cited by 6ConditionallyCompleteLine…OrderRingIso.ext · cited by 5OrderRingIso.extConditionallyCompleteLinearOrderedField.inducedMap_self · cited by 3ConditionallyCompleteLine…ConditionallyCompleteLinearOr…CITED BYCITES

Cites8

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Cited by1

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