\forall H:(\forall x,y:A. x = y).
\forall H:(\forall x,y,z:A. f x = y).
\forall x,y:A. x=y.
\forall H:(\forall x,y:A. x = y).
\forall H:(\forall x,y,z:A. f x = y).
\forall x,y:A. x=y.
\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.
\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 a (inv a)= mult b (inv 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 a (inv a)= mult b (inv b).