Law of Transitivity

The Law of Transitivity states that the probability that a meteic bond $$(α,β)$$ will mutate to $$(α,γ)$$ is directly proportional to the number of bonds between $$β$$ and $$γ$$.

Formal Statement
Let $$B_t$$ be defined so that for any concepts $$α$$ and $$β$$, $$B_t(α,β)$$ is an integer representing the number of bonds between $$α$$ and $$β$$ at time $$t$$.

Fix concepts $$α$$ and $$β$$. Let $$t$$ and $$t'$$ be adjacent time steps. Then the Law of Transitivity states that the probability of a bond $$(α,β)$$ at time $$t$$ becoming bond $$(α,γ)$$ at time $$t'$$ is: $$P\left[(α,β)_t →(α,γ)_{t'}\right] = \frac{B_t(β,γ)}{\sum_ξ B_t(β,ξ)}$$