locallyDiscreteEquiv — Mathlib

English

There is a canonical equivalence between LocallyDiscrete C and the original type C, given by the forgetful/creator pair LocallyDiscrete.as and LocallyDiscrete.mk.

Русский

Существует каноническое эквивалентность между локально-дискретным типом C и самим типом C, задаваемая отображениями LocallyDiscrete.as и LocallyDiscrete.mk.

LaTeX

$$$\\text{locallyDiscreteEquiv} : \\text{LocallyDiscrete } C \\simeq C ,\\; \\text{toFun}=\\text{LocallyDiscrete.as},\\; \\text{invFun}=\\text{LocallyDiscrete.mk}.$$$

Lean4

/-- `LocallyDiscrete C` is equivalent to the original type `C`. -/
@[simps]
def locallyDiscreteEquiv : LocallyDiscrete C ≃ C
    where
  toFun := LocallyDiscrete.as
  invFun := LocallyDiscrete.mk
  left_inv := by cat_disch
  right_inv := by cat_disch

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