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Proof step 15 from proof no-leading-zero (previous step)

int2bytes(bytes2int(i2b(0) ' + by ' + bytes)) = i2b(0) ' + by ' + bytes, 0 ≤ b2i(by), ∀ by, bytes0. # bytes0 < # bytes → int2bytes(bytes2int(i2b(0) ' + by ' + bytes0)) = i2b(0) ' + by ' + bytes0 ∧ 0 ≤ b2i(by) → false ⊦ bytes = []

User applied rule cut formula

And obtained the following new goals

Proof step 16:
bytes = bytes.butlast + bytes.last, int2bytes(bytes2int(i2b(0) ' + by ' + bytes)) = i2b(0) ' + by ' + bytes, 0 ≤ b2i(by), ∀ by, bytes0. # bytes0 < # bytes → int2bytes(bytes2int(i2b(0) ' + by ' + bytes0)) = i2b(0) ' + by ' + bytes0 ∧ 0 ≤ b2i(by) → false ⊦ bytes = []

Rule argument

fma: bytes = bytes.butlast + bytes.last

Additional information

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