Mathlib Map

Theorems · Theorem · number theory

NumberField.InfinitePlace.Completion.continuous_ofCompletion

∀ {K : Type u_1} [inst : Field K] (v : NumberField.InfinitePlace K),
  Continuous NumberField.InfinitePlace.Completion.ofCompletion
Defined in
Mathlib.NumberTheory.NumberField.Completion.InfinitePlace
Cited by
4 results in Mathlib
Foundations
Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Field
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

NumberField.InfinitePlace.Completion.induction_on · cited by 3Completion.induction_onNumberField.InfinitePlace.Completion.continuous_coe · cited by 1Completion.continuous_coeNumberField.InfinitePlace.Completion.denseRange_coe · cited by 1Completion.denseRange_coeNumberField.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 102WithAbsIsometryEquiv.symm · cited by 75IsometryEquiv.symmNumberField.place · cited by 71NumberField.placeNumberField.InfinitePlace.Completion · cited by 69InfinitePlace.CompletionAbsoluteValue.Completion · cited by 24AbsoluteValue.CompletionIsometryEquiv.continuous · cited by 2IsometryEquiv.continuousNumberField.InfinitePlace.Completion.isometryEquivCompletion · cited by 1Completion.isometryEquivC…Completion.continuous_ofCompl…CITED BYCITES

Cites14

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.