normLeOne_eq_preimage — Mathlib

English

The image of normAtAllPlaces under normLeOne equals the image of expMapBasis under paramSet through the fundamentalEmbedding.

Русский

Образ normAtAllPlaces под normLeOne равен образу expMapBasis под paramSet через fundamentalEmbedding.

LaTeX

$$Set.image normAtAllPlaces (normLeOne K) = Set.image expMapBasis (paramSet K)$$

Lean4

theorem normLeOne_eq_preimage : normLeOne K = normAtAllPlaces ⁻¹' (expMapBasis '' (paramSet K)) := by
  rw [normLeOne_eq_preimage_image, normAtAllPlaces_normLeOne_eq_image]

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