| THM | zero_rank_all_vars | L:Sequent List. eqS:{Sequent= }. eqF:{Formula= }.
s L.( s = 0)
 ( hyp,concl:Formula List.
<hyp, concl>( eqS) L
 ( z:Formula
z( eqF) hyp z( eqF) concl  ( v:Var. z = v ))) |
| THM | zero_rank_valid_or_falsifiable | L:Sequent List
s L.( s = 0)  s L.|= s ( a:Assignment. s L.a | s) |
| THM | prop_decide | S:Sequent. |= S ( a:Assignment. a | S) |
| THM | propositional_decidability | S:Sequent. |= S ( a:Assignment. a | S) |