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Antiseptic vs. Disinfectant Distinction

Differentiating agents applied to living tissue (antiseptics, e.g., alcohol) from those applied to inanimate objects (disinfectants, e.g., bleach), based on required concentration and tissue compatibility.
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The statement of the theorem

Define two distinct sets of chemical agents: A\mathcal{A} (Antiseptics) and D\mathcal{D} (Disinfectants). Let TtargetT_{target} be the substrate. The distinction is based on the required target domain: A\mathcal{A} must satisfy Ttarget⊂Living TissueT_{target} \subset \text{Living Tissue} and D\mathcal{D} must satisfy Ttarget⊂Inanimate ObjectT_{target} \subset \text{Inanimate Object}. Furthermore, the concentration CC of A\mathcal{A} must be compatible with physiological parameters, such that C≤Cmax,tissueC \le C_{max, tissue}, while D\mathcal{D} requires C≥Cmin,objectC \ge C_{min, object} for efficacy.