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Proof step 19 from proof bytes2bytes-fix (previous step)

0 ≤ b2i(by0), ∀ bytes0. # bytes0 < #(i2b(0) + by0 + bytes) → true → bytes0 = [] ∨ fix(# bytes0, int2bytes(bytes2int(bytes0))) = bytes0 ⊦ fix(2 + # bytes, int2bytes(bytes2int(i2b(0) ' + by0 ' + bytes))) = i2b(0) ' + by0 ' + bytes

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 20:
⊦ 0 ≤ b2i(by) → bytes2int(i2b(0) ' + by ' + bytes) = bytes2int(by ' + bytes)
Proof step 21:
0 ≤ b2i(by0), 0 ≤ b2i(by0), ∀ bytes0. # bytes0 < #(i2b(0) + by0 + bytes) → true → bytes0 = [] ∨ fix(# bytes0, int2bytes(bytes2int(bytes0))) = bytes0 ⊦ fix(2 + # bytes, int2bytes(bytes2int(by0 ' + bytes))) = i2b(0) ' + by0 ' + bytes

Rule argument

name: bytes2int-zero-04 rotate: F subst: [bytes, by] → [bytes, by0]

Additional information

Used terms: bytes, by0