fullyFaithfulFunctor — Mathlib

English

The obvious functor h.smallCategoryOfSet.obj ⥤ C is fully faithful.

Русский

Очевидный функтор h.smallCategoryOfSet.obj ⥤ C полностью инклюзивен.

LaTeX

$$$\\text{fullyFaithfulFunctor} \\, : \\, h.functor.FullyFaithful$$$

Lean4

/-- Given `h : CoreSmallCategoryOfSet Ω C`,
the obvious functor `h.smallCategoryOfSet.obj ⥤ C` is fully faithful. -/
def fullyFaithfulFunctor : h.functor.FullyFaithful where preimage := h.homEquiv.symm

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