It is a known theorem that if $F\subseteq K \subseteq L$ are fields, then $[L:F]=[F:K][K:L]$. This may be a stupid question, but can we say the same if we have $F\subseteq K \subseteq J \subseteq L$ be fields?
2026-04-04 20:27:02.1775334422
If $F\subseteq K \subseteq J \subseteq L$, then $[L:F]=[F:K][K:J][J:L]$?
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