instFaithfulSheafCompHausCoherentTopologyTypeConstantSheaf

English

The constant sheaf functor to Type (u+1) is faithful for coherent topology on CompHaus.

Русский

Функтор константной Sheaf в Type (u+1) сохраняет различимости morphisms.

LaTeX

$$$\\text{Faithful}(F) \\iff \\forall X,Y,\\; F: \\mathrm{Hom}(X,Y) \\to \\mathrm{Hom}(F X, F Y)$ is injective.$$

Lean4

instance : (constantSheaf (coherentTopology CompHaus) (Type (u + 1))).Faithful :=
  inferInstanceAs (discrete (Type (u + 1))).Faithful

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