1 alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
2 alias num (instance 0) = "natural number".
3 alias symbol "eq" (instance 0) = "leibnitz's equality".
4 alias symbol "plus" (instance 0) = "natural plus".
9 a = b \to b + a + b + a= (\lambda j.((\lambda w.((\lambda x.x + b + w + j) a)) b)) a.
11 rewrite right H in \vdash (? ? ? ((\lambda j.((\lambda w.%) ?)) ?)).
13 rewrite right H in \vdash (? ? % ?).
15 simplify in \vdash (? ? ? ((\lambda x.((\lambda y.%) ?)) ?)).
17 rewrite right H in \vdash (? ? ? (% ?)).