fact: Definition ind_subst (L : lambda_calculus_data) : UU := ∏ A f_var f_app f_abs f_subst f_paths m n l f, lambda_calculus_ind (L := L) A f_var f_app f_abs f_subst f_paths n (subst l f) = f_subst m n _ _ (lambda_calculus_ind _ f_var f_app f_abs f_subst f_paths _ l) (λ i, lambda_calculus_ind _ f_var f_app f_abs f_subst f_paths _ (f i)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.StandardFiniteSets UniMath.Combinatorics.Tuples