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Proof step 1 from proof bytes2int-size-01 (conclusion)

⊦ b2i(by) < 0 → 2 ^ ((n→i(# bytes) + 1) * 8 - 1) ≤ bytes2int(i2b(0) ' + by ' + bytes)

User applied rule induction

And obtained the following new goals

Proof step 2:
true, ∀ by, bytes0. # bytes0 < # bytes → true → b2i(by) < 0 → 2 ^ ((n→i(# bytes0) + 1) * 8 - 1) ≤ bytes2int(i2b(0) ' + by ' + bytes0) ⊦ b2i(by) < 0 → 2 ^ ((n→i(# bytes) + 1) * 8 - 1) ≤ bytes2int(i2b(0) ' + by ' + bytes)

Rule argument

indvar: # bytes wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: # bytes