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Proof step 56 from proof no-leading-zero-01 (previous step)

i2b(0) ' + by ' + bytes ≠ [], int2bytes(i / 256) = (i2b(0) ' + by ' + bytes).butlast ∧ int2bytes(i % 256).last = (i2b(0) ' + by ' + bytes).last, 0 < i, 0 ≤ b2i(by), 255 < i, ∀ bytes, by, i0. i→n(i0) < i→n(i) → int2bytes(i0) = i2b(0) ' + by ' + bytes ∧ 0 ≤ b2i(by) ∧ i2b(0) ∈ int2bytes(i0) → false ⊦ int2bytes(i % 256).last ≠ i2b(0) ∧ int2bytes(i % 256).last ≠ by ∧ ¬ int2bytes(i % 256).last ∈ bytes, ¬ i2b(0) ∈ int2bytes(i / 256) ∧ i2b(0) ≠ int2bytes(i % 256).last

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 57:
int2bytes(i / 256) = i2b(0) ' + (by ' + bytes).butlast, int2bytes(i % 256).last = (by ' + bytes).last, 0 < i, 0 ≤ b2i(by), 255 < i, i2b(0) ∈ int2bytes(i / 256), ∀ bytes, by, i0. i→n(i0) < i→n(i) → int2bytes(i0) = i2b(0) ' + by ' + bytes ∧ 0 ≤ b2i(by) ∧ i2b(0) ∈ int2bytes(i0) → false ⊦ (by ' + bytes).last ≠ i2b(0) ∧ (by ' + bytes).last ≠ by ∧ ¬ (by ' + bytes).last ∈ bytes

Rule argument

Additional information

Used simplifier rules: ⊦ by ' + bytes = bytes0 → by ∈ bytes0; (forward)% ⊦ by ' + bytes ≠ [];% ⊦ (by ' + by0 ' + bytes).last = (by0 ' + bytes).last;% ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1;% ⊦ (bytes + by ' + bytes0).butlast = bytes + (by ' + bytes0).butlast;