Theorems · Theorem · number theory

NumberField.InfinitePlace.Completion.algebraMap_eq_coe

∀ {K : Type u_1} [inst : Field K] {v : NumberField.InfinitePlace K} {L : Type u_2} [inst_1 : Field L]
  [inst_2 : Algebra K L] (w : NumberField.InfinitePlace L) (x : WithAbs ↑v),
  (algebraMap (WithAbs ↑v) w.Completion) x = { toCompletion := ↑((algebraMap (WithAbs ↑v) (WithAbs ↑w)) x) }

Defined in

Mathlib.NumberTheory.NumberField.Completion.InfinitePlace

Cited by

1 results in Mathlib

Foundations

Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebra