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Proof step 9 from proof max-zero (previous step)

maxenc(1, m) = 0, 1 ≤ m ⊦ m = 0

User applied rule insert lemma

And obtained the following new goals

Proof step 10:
⊦ m ≤ maxenc(m, n)

Rule argument

spec: nat-pair inst: name: max-bigger seq: ⊦ m ≤ maxenc(m, n) subst: [m, n] → [1, m] flags: current, []

Additional information

Used simplifier rules: not-zero: 0 < n ⊦ (* n) ≤ m → m ≠ 0; (forward) from specification nat Used terms: 1, m