This is a very simple question, but I'm having trouble finding a definition for separately generic forcing extensions. I know that if $G$ and $H$ are mutually $P-$generic over some ground model $M$, then $H$ is $P-$generic over $M[G]$ and $G$ is $P-$generic over $M[H]$. If $G$ and $H$ are separately $P-$generic over $M$, does this just mean that each is $P-$generic over $M$ and that $G\neq H$?
2026-03-27 09:37:37.1774604257
Definition of Separately Generic Forcing Extensions
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