\documentclass{article}
\usepackage{prooftrees,amssymb,turnstile}
% Sašo Živanović: tex.stackexchange.com/a/296771
\newcommand\hiddenparcommand{\par\noindent}
\newcommand\hiddencommacommand{, }
\forestset{%
declare keylist register={split here levels},
declare keylist register={split here interjects},
declare toks register=split here toks,
split here levels={},
split here interjects={},
to widest/.style={
tikz+={\path (\forestregister{tempdima}, \forestoption{y}) -- (\forestregister{tempdimb}, \forestoption{y});},