transport — Mathlib

English

There is an instance giving HasSheafCompose on the essentially small site via the small model construction.

Русский

Существует инстанс HasSheafCompose на существенно-малом сайте через модель малого размера.

LaTeX

$$$HasSheafCompose J F$ in essentially small site$$

Lean4

theorem transport (hG : CoverPreserving K J G) : J.WEqualsLocallyBijective A where
  iff
    f := by
    rw [← W_whiskerLeft_iff J K G f, ← Presheaf.isLocallyInjective_whisker_iff K J G f hG, ←
      Presheaf.isLocallySurjective_whisker_iff K J G f hG, W_iff_isLocallyBijective]

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