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Proof step 5 from proof bytes2int-fillsgn-zero (previous step)

∀ by. by ∈ bytes → b2i(by) = 0 ⊦ bytes = [], fillsgn(# bytes, i2b(0) ') = bytes

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ # bytes < n ∧ 0 ≤ bytes2int(bytes) → fillsgn(n, bytes) = mklist(i2b(0), n - # bytes) + bytes
Proof step 7:
¬(# i2b(0) ' < # bytes ∧ 0 ≤ bytes2int(i2b(0) ')), ∀ by. by ∈ bytes → b2i(by) = 0 ⊦ bytes = [], fillsgn(# bytes, i2b(0) ') = bytes
Proof step 14:
# i2b(0) ' < # bytes ∧ 0 ≤ bytes2int(i2b(0) '), ∀ by. by ∈ bytes → b2i(by) = 0 ⊦ bytes = [], mklist(i2b(0), # bytes - # i2b(0) ') + i2b(0) ' = bytes

Rule argument

name: fillsgn-pos rotate: F subst: [bytes, n] → [i2b(0) ', # bytes]

Additional information

Used terms: i2b(0) ', # bytes