instNontrivialLocallyConstantIntOfNonempty

English

The evaluation on the singleton {false} is linearly independent.

Русский

Оценка на единичном множестве {false} линейно независима.

LaTeX

$$$$\\text{LinearIndependent}\\; \\mathbb{Z}\\; (\\mathrm{eval}\\; (\\{\\mathrm{false}\\}\\))$$$$

Lean4

instance {α : Type*} [TopologicalSpace α] [Nonempty α] : Nontrivial (LocallyConstant α ℤ) :=
  ⟨0, 1, ne_of_apply_ne DFunLike.coe <| (Function.const_injective (β := ℤ)).ne zero_ne_one⟩

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