See discussion in #2862 where @jamesmckinna makes this suggestion. I agree that it is a much better name.
Really the lemma that should be called satisfiable should be Satisfiable P -> Satisfiable (Any P). Of course the opposite lemma also holds Satisfiable (Any P) -> Satisfiable P so maybe the naming needs to be thought about more carefully.
See discussion in #2862 where @jamesmckinna makes this suggestion. I agree that it is a much better name.
Really the lemma that should be called
satisfiableshould beSatisfiable P -> Satisfiable (Any P). Of course the opposite lemma also holdsSatisfiable (Any P) -> Satisfiable Pso maybe the naming needs to be thought about more carefully.