instFaithfulModuleCatSheafCompHausCoherentTopologyConstantSheaf

English

The constant sheaf on coherent topology for condensed R-modules is faithful.

Русский

Постоянный sheaf на когерентной топологии для Condensed R-модулей верен.

LaTeX

$$$\operatorname{Faithful}\bigl(\mathrm{constantSheaf}(\mathrm{coherentTopology}\;\mathrm{CompHaus}, \mathrm{ModuleCat}~R)\bigr)$$$

Lean4

instance : (constantSheaf (coherentTopology CompHaus) (ModuleCat R)).Faithful :=
  inferInstanceAs (discrete (ModuleCat R)).Faithful

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