Today I’ve proved a new little theorem:

Theorem $latex \mathrm{Cor} ( \mathsf{FCD}) g = ( \mathsf{FCD}) \mathrm{Cor}\, g$ for every reloid $latex g$.

Conjecture For every funcoid $latex g$

  1. $latex \mathrm{Cor} ( \mathsf{RLD})_{\mathrm{in}} g = ( \mathsf{RLD})_{\mathrm{in}} \mathrm{Cor}\, g$;
  2. $latex \mathrm{Cor} ( \mathsf{RLD})_{\mathrm{out}} g = ( \mathsf{RLD})_{\mathrm{out}} \mathrm{Cor}\, g$.

See my book.

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