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Proof step 53 from proof bytes2bytes-fix (previous step)

b2i(by) = ~1, 0 ≤ b2i(bytes1.first), ∀ bytes0. # bytes0 < #(by + bytes1) → true → bytes0 = [] ∨ fix(# bytes0, int2bytes(bytes2int(bytes0))) = bytes0 ⊦ fix(1 + # bytes1, by ' + bytes1) = by ' + bytes1, bytes1 = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 54:
⊦ # bytes = n → fix(n, bytes) = bytes

Rule argument

name: fix-length-01 rotate: F subst: [bytes, n] → [by ' + bytes1, 1 + # bytes1]

Additional information

Used simplifier rules: ⊦ #(bytes + bytes0) = # bytes + # bytes0;% ⊦ # by ' = 0 +1;% ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1;% ⊦ m + n = m + n0 ↔ n = n0;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m; Used terms: by ' + bytes1, 1 + # bytes1