Check, whether boolean basis consisting of $\{\lor, \rightarrow \}$ is complete one?
2026-03-31 14:31:23.1774967483
Boolean basis complete?
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It is not complete. In particular, you can't construct $\neg$, since:
$$\mathrm{T}\lor\mathrm{T} = \mathrm{T} \rightarrow \mathrm{T} = \mathrm{T}$$
So there is no way of combining $\lor$ and $\rightarrow$ that will turn $\mathrm{T}$ into $\mathrm{F}$. This is the same reason $\left(\land,\rightarrow\right)$ is incomplete, as shown in the question you linked to.