| Description: (Note:  This
inference rule and the next one, a1ii 2, will normally
       never appear in a completed proof.  They can be ignored if you are using
       this database to assist learning logic; please start with the statement
       wn 3 instead.) 
       This inference says "if 𝜑 is true then 𝜑 is true".  This
       inference requires no axioms for its proof, and is useful as a
       copy-paste mechanism during proof development in mmj2.  It is normally
       not referenced in the final version of a proof, since it is always
       redundant.  You can remove this using the metamath-exe (Metamath
       program) Proof Assistant using the "MM-PA> MINIMIZE_WITH *"
command.
       This is the inference associated with id 22, hence
its name.
       (Contributed by Alan Sare, 31-Dec-2011.)
       (Proof modification is discouraged.)  (New usage is
discouraged.) |