  We show that every connected affine algebraic supergroup defined over a field
k, with diagonalizable maximal torus and whose tangent Lie superalgebra is a
k-form of a complex simple Lie superalgebra of classical type is a Chevalley
supergroup, as it is defined and constructed explicitly in [R. Fioresi, F.
Gavarini, "Chevalley Supergroups", Memoirs of the AMS 215 (2012), no. 1014].
