alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
alias id "eq" = "cic:/Coq/Init/Logic/eq.ind#xpointer(1/1)".
alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
alias id "eq" = "cic:/Coq/Init/Logic/eq.ind#xpointer(1/1)".
\forall mult: A \to A \to A.
\forall H: (\forall x,y,z:A.mult z (inv (mult (inv (mult (inv (mult z y)) x)) (inv (mult y (mult (inv y) y))))) = x).
\forall a,b:A. mult (inv a) a = mult (inv b) b.
\forall mult: A \to A \to A.
\forall H: (\forall x,y,z:A.mult z (inv (mult (inv (mult (inv (mult z y)) x)) (inv (mult y (mult (inv y) y))))) = x).
\forall a,b:A. mult (inv a) a = mult (inv b) b.