Theorems · Theorem · number theory

NumberField.LiesOver.continuous_completionMap

∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L]
  {v : NumberField.InfinitePlace K} {w : NumberField.InfinitePlace L} [inst_3 : w.LiesOver v],
  Continuous ⇑NumberField.LiesOver.completionMap

Defined in: Mathlib.NumberTheory.NumberField.Completion.LiesOverInstances
Cited by: 0 results in Mathlib
Foundations: Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Field Algebra NumberField.InfinitePlace.LiesOver

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DFunLike.coestatement · cited by 62,936
Algebrastatement and proof · cited by 11,388
RingHomstatement · cited by 10,189
Fieldstatement and proof · cited by 7,404
Continuousstatement · cited by 2,592
NumberField.InfinitePlacestatement and proof · cited by 604
Continuous.compproof · cited by 371
NumberField.InfinitePlace.Completionstatement · cited by 69
NumberField.InfinitePlace.LiesOverstatement and proof · cited by 25
UniformSpace.Completion.continuous_mapproof · cited by 5
NumberField.LiesOver.completionMapstatement · cited by 4
NumberField.InfinitePlace.Completion.continuous_ofCompletionproof · cited by 4

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