fact: Variable f_mon : forall M v1 v2, get_elem M dim_pos dim_pos > 0 -> v1 >=v v2 -> vec_at0 v1 > vec_at0 v2 -> vec_at0 (f M v1) > vec_at0 (f M v2).
imports: Coq(Setoid) CoLoR(LogicUtil Matrix OrdSemiRing VecUtil AMonAlg SN RelUtil AWFMInterpretation NatUtil AMatrixBasedInt)