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Theorems · Theorem · commutative algebra

CauSeq.Completion.ofRat_neg

∀ {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] (x : β),
  CauSeq.Completion.ofRat (-x) = -CauSeq.Completion.ofRat x
Defined in
Mathlib.Algebra.Order.CauSeq.Completion
Cited by
0 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldLinearOrderIsStrictOrderedRingRingIsAbsoluteValue
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Around this declaration

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LinearOrder · cited by 8572LinearOrderRing · cited by 7463RingField · cited by 7404FieldIsStrictOrderedRing · cited by 2490IsStrictOrderedRingIsAbsoluteValue · cited by 160IsAbsoluteValueCauSeq.Completion.Cauchy · cited by 62Completion.CauchyCauSeq.Completion.mk · cited by 24Completion.mkCauSeq.Completion.ofRat · cited by 15Completion.ofRatCauSeq.const_neg · cited by 3CauSeq.const_negCompletion.ofRat_negCITED BYCITES

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