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Proof step 46 from proof no-leading-zero-04 (previous step)

i % 256 = 0, int2bytes(i / 256) = i2b(~1) ' + by ' + bytes0, i < 0, b2i(by) < 0, i < ~256, i2b(~1) ∈ int2bytes(i / 256), ∀ bytes, by, i0. i→n(i0) < i→n(i) → true → b2i(by) < 0 → int2bytes(i0) ≠ i2b(~1) ' + by ' + bytes ⊦ i2b(0) = by

User applied rule apply induction

And obtained the following new goals

Proof step 47:
i % 256 = 0, int2bytes(i / 256) = i2b(~1) ' + by ' + bytes0, i < 0, b2i(by) < 0, i < ~256, i2b(~1) ∈ int2bytes(i / 256), ∀ bytes, by, i0. i→n(i0) < i→n(i) → true → b2i(by) < 0 → int2bytes(i0) ≠ i2b(~1) ' + by ' + bytes ⊦ i→n(i / 256) < i→n(i), i2b(0) = by

Rule argument

subst: [bytes, by, i0] → [bytes0, by, i / 256]

Additional information

Used simplifier rules: ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false); Used terms: bytes0, by, i / 256