Theorems · Theorem · number theory

NumberField.LiesOver.completionMap_coe

∀ {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] (x : WithAbs ↑v),
  NumberField.LiesOver.completionMap { toCompletion := ↑x } =
    { toCompletion := ↑((algebraMap (WithAbs ↑v) (WithAbs ↑w)) x) }

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

FieldFieldAlgebraNumberField.InfinitePlace.LiesOver