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Theorems · Theorem · number theory

NumberField.InfinitePlace.Completion.continuous_toCompletion

∀ {K : Type u_1} [inst : Field K] (v : NumberField.InfinitePlace K),
  Continuous NumberField.InfinitePlace.Completion.toCompletion
Defined in
Mathlib.NumberTheory.NumberField.Completion.InfinitePlace
Cited by
1 results in Mathlib
Foundations
Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Field
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Dashed lines are statement dependencies; solid lines are citations in proofs.

NumberField.LiesOver.continuous_completionMap · cited by 0LiesOver.continuous_compl…Real · cited by 25697RealRingHom · cited by 10189RingHomField · cited by 7404FieldComplex · cited by 5565ComplexContinuous · cited by 2592ContinuousNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceAbsoluteValue · cited by 363AbsoluteValueWithAbs · cited by 102WithAbsNumberField.place · cited by 71NumberField.placeNumberField.InfinitePlace.Completion · cited by 69InfinitePlace.CompletionAbsoluteValue.Completion · cited by 24AbsoluteValue.CompletionIsometry.continuous · cited by 23Isometry.continuousNumberField.InfinitePlace.Completion.toCompletion · cited by 20Completion.toCompletionNumberField.InfinitePlace.Completion.isometry_toCompletion · cited by 3Completion.isometry_toCom…Completion.continuous_toCompl…CITED BYCITES

Cites14

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Cited by1

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