instCoeTCCompactlySupportedContinuousMap

English

Given f1 ≤ f2 in CompactlySupportedContinuousMap α ℝ≥0, there exists g ∈ C_c(α, ℝ≥0) such that f1 + g = f2.

Русский

Если f1 ≤ f2 в C_c(α, ℝ≥0), существует g ∈ C_c(α, ℝ≥0) такое, что f1 + g = f2.

LaTeX

$$$$ f_1 \le f_2 \Rightarrow \exists g \in C_c(\alpha, \mathbb{R}_{\ge 0}),\ f_1 + g = f_2. $$$$

Lean4

instance : CoeTC F (CompactlySupportedContinuousMap α β) :=
  ⟨fun f =>
    { toFun := f
      continuous_toFun := map_continuous f
      hasCompactSupport' := hasCompactSupport f }⟩

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