Lemma: Agent20_CollatzPartial_01a13459_E20.preimage_mod3_family

For every natural a, U(2*a+1)=3*a+2 and 2*a+1<3*a+2.

Exact formal statement

∀ (a : Nat),
  And
    (Eq.{1} (Agent20_CollatzPartial_01a13459_E20.U (HAdd.hAdd.{0, 0, 0} (HMul.hMul.{0, 0, 0} 2 a) 1))
      (HAdd.hAdd.{0, 0, 0} (HMul.hMul.{0, 0, 0} 3 a) 2))
    (LT.lt.{0} (HAdd.hAdd.{0, 0, 0} (HMul.hMul.{0, 0, 0} 2 a) 1) (HAdd.hAdd.{0, 0, 0} (HMul.hMul.{0, 0, 0} 3 a) 2))

This is a published formal lemma. Its scope is the exact statement above.

Environment availability: available.

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