I was looking at ProofWiki's articles 'Definition:Equidistance' and 'Definition:Between (Geometry)'and came across the symbol '$\dashv\vdash$.' What does it mean?
2026-03-27 22:05:06.1774649106
Meaning of $\dashv\vdash$
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$\dashv\vdash$, means that two statements are interderivable. It's an expression of logical equivalence, or syntactic equivalence, in formal proofs.
$$p\dashv\vdash q\qquad\text{ means that }\quad p\vdash q\quad\text{ and }\quad q\vdash p$$
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PS: The turnstyle, $\vdash$, is the logical implication symbol in formal proofs; which may be read aloud as "therefore".