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Proof step 12 from proof three (previous step)

m * m0 ≤ 3 ⊦ m = 1, m = 0, m = 2, m0 = 2, m0 = 0, m0 = 1

User applied rule structural induction

And obtained the following new goals

Proof step 13:
m * m1 +1 ≤ 3, ∀ m. m * m1 ≤ 3 → m = 1 ∨ m = 0 ∨ m = 2 ∨ m1 = 2 ∨ m1 = 0 ∨ m1 = 1 ⊦ m1 +1 = 1, m1 +1 = 0, m1 +1 = 2, m = 2, m = 0, m = 1

Rule argument

indvar: m0

Additional information

Used simplifier rules: nat freely generated by 0, +1;;