faithful_sheafPushforwardContinuous

English

The pushforward along G is faithful under the same hypotheses, i.e., distinct morphisms remain distinct after pushforward.

Русский

Pushforward вдоль G верен, различия между морфизмами сохраняются.

LaTeX

$$$(G.sheafPushforwardContinuous A J K).Faithful$$$

Lean4

instance faithful_sheafPushforwardContinuous : Faithful (G.sheafPushforwardContinuous A J K) :=
  letI := IsDenseSubsite.isCoverDense J K G
  letI := IsDenseSubsite.isLocallyFull J K G
  inferInstance

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