In a regular local ring, a surface function `f'` lying in every curve lattice of `G` and of multiplicity at most `d` generates the same principal ideal as the function `f` inducing `G`.

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In a regular local ring, a surface function `f'` lying in every curve lattice of `G` and of multiplicity at most `d` generates the same principal ideal as the function `f` inducing `G`. · Prove2Me