True Statement is implied by Every Statement

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Theorem

If something is true, then anything implies it.

Formulation 1

\(\ds p\) \(\) \(\ds \)
\(\ds \vdash \ \ \) \(\ds q \implies p\) \(\) \(\ds \)

Formulation 2

$\vdash q \implies \paren {p \implies q}$


Also see


Sources