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+(*
+ * CoqUp: Verified high-level synthesis.
+ * Copyright (C) 2019-2020 Yann Herklotz <yann@yannherklotz.com>
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program.  If not, see <https://www.gnu.org/licenses/>.
+ *)
+
+From Coq Require Export
+     String
+     ZArith
+     Znumtheory
+     List
+     Bool.
+
+Ltac unfold_rec c := unfold c; fold c.
+
+Ltac solve_by_inverts n :=
+  match goal with | H : ?T |- _ =>
+    match type of T with Prop =>
+      inversion H;
+      match n with S (S (?n')) => subst; try constructor; solve_by_inverts (S n') end
+    end
+  end.
+
+Ltac solve_by_invert := solve_by_inverts 1.