Yet three conjectures

Conjecture \mathrm{dom}\, (\mathsf{RLD})_{\Gamma} f = \mathrm{dom}\, f and \mathrm{im}\, (\mathsf{RLD})_{\Gamma} f = \mathrm{im}\, f for every funcoid f.

Conjecture (\mathsf{RLD})_{\Gamma} g \circ (\mathsf{RLD})_{\Gamma} f = (\mathsf{RLD})_{\Gamma} (g \circ f) for every composable funcoids f and g.

Conjecture For every funcoid g we have \mathrm{Cor}\, (\mathsf{RLD})_{\Gamma} g = (\mathsf{RLD})_{\Gamma} \mathrm{Cor}\, g.

See my research monograph and related articles for the definitions.

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