Inductive fractionalAcc : Z -> Z -> Prop :=
  | fractionalacc0 : forall m n : Z, m = n -> fractionalAcc m n
  | fractionalacc1 :
      forall m n : Z,
      (0 < m)%Z ->
      (m < n)%Z -> fractionalAcc m (n - m)%Z -> fractionalAcc m n
  | fractionalacc2 :
      forall m n : Z,
      (0 < n)%Z ->
      (n < m)%Z -> fractionalAcc (m - n)%Z n -> fractionalAcc m n.Inductive fractionalAcc : Z -> Z -> Prop :=
  | fractionalacc0 : forall m n : Z, m = n -> fractionalAcc m n
  | fractionalacc1 :
      forall m n : Z,
      (0 < m)%Z ->
      (m < n)%Z -> fractionalAcc m (n - m)%Z -> fractionalAcc m n
  | fractionalacc2 :
      forall m n : Z,
      (0 < n)%Z ->
      (n < m)%Z -> fractionalAcc (m - n)%Z n -> fractionalAcc m n.Inductive fractionalAcc : Z -> Z -> Prop :=
  | fractionalacc0 : forall m n : Z, m = n -> fractionalAcc m n
  | fractionalacc1 :
      forall m n : Z,
      (0 < m)%Z ->
      (m < n)%Z -> fractionalAcc m (n - m)%Z -> fractionalAcc m n
  | fractionalacc2 :
      forall m n : Z,
      (0 < n)%Z ->
      (n < m)%Z -> fractionalAcc (m - n)%Z n -> fractionalAcc m n.Inductive fractionalAcc : Z -> Z -> Prop :=
  | fractionalacc0 : forall m n : Z, m = n -> fractionalAcc m n
  | fractionalacc1 :
      forall m n : Z,
      (0 < m)%Z ->
      (m < n)%Z -> fractionalAcc m (n - m)%Z -> fractionalAcc m n
  | fractionalacc2 :
      forall m n : Z,
      (0 < n)%Z ->
      (n < m)%Z -> fractionalAcc (m - n)%Z n -> fractionalAcc m n.

Lemma fractionalacc_1 : forall m n : Z, fractionalAcc m n -> (0 < m)%Z -> (m < n)%Z -> fractionalAcc m (n - m).