A Poincar\'e-Birkhoff-Witt Theorem for profinite pronilpotent Lie algebras
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algebrase-birkhoff-wittpoincarprofinitepronilpotenttheoremanaloguesappropriate
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We prove a version of the Poincar\'e-Birkhoff-Witt Theorem for profinite pronilpotent Lie algebras in which their symmetric and universal enveloping algebras are replaced with appropriate formal analogues and discuss some immediate corollaries of this result.
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