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Theorems · Theorem · number theory

NumberField.InfinitePlace.Completion.isometry_toCompletion

∀ {K : Type u_1} [inst : Field K] (v : NumberField.InfinitePlace K),
  Isometry NumberField.InfinitePlace.Completion.toCompletion
Defined in
Mathlib.NumberTheory.NumberField.Completion.InfinitePlace
Cited by
3 results in Mathlib
Foundations
Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Field
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NumberField.InfinitePlace.Completion.isometry_extensionEmbedding · cited by 4Completion.isometry_exten…NumberField.InfinitePlace.Completion.isometry_extensionEmbeddingOfIsReal · cited by 2Completion.isometry_exten…NumberField.InfinitePlace.Completion.continuous_toCompletion · cited by 1Completion.continuous_toC…NumberField.InfinitePlace.Completion.isometryEquivCompletion · cited by 1Completion.isometryEquivC…Real · cited by 25697RealRingHom · cited by 10189RingHomField · cited by 7404FieldComplex · cited by 5565ComplexNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceAbsoluteValue · cited by 363AbsoluteValueIsometry · cited by 230IsometryWithAbs · cited by 102WithAbsNumberField.place · cited by 71NumberField.placeNumberField.InfinitePlace.Completion · cited by 69InfinitePlace.CompletionIsometry.of_dist_eq · cited by 27Isometry.of_dist_eqAbsoluteValue.Completion · cited by 24AbsoluteValue.CompletionNumberField.InfinitePlace.Completion.toCompletion · cited by 20Completion.toCompletionCompletion.isometry_toComplet…CITED BYCITES

Cites13

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Cited by4

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