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Proof step 33 from proof fillsgn-rec (previous step)

bytes2int(by ' + bytes0) < 0 ⊦ mklist(i2b(~1), n + 1) + by ' + bytes0 = (¬ 0 ≤ b2i(by) ⊃ i2b(~1);i2b(0)) ' + fillsgn((1 + # bytes0) + n, by ' + bytes0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 34:
⊦ # bytes < n ∧ bytes2int(bytes) < 0 → fillsgn(n, bytes) = mklist(i2b(~1), n - # bytes) + bytes
Proof step 35:
¬(#(by ' + bytes0) < (1 + # bytes0) + n ∧ bytes2int(by ' + bytes0) < 0), bytes2int(by ' + bytes0) < 0 ⊦ mklist(i2b(~1), n + 1) + by ' + bytes0 = (¬ 0 ≤ b2i(by) ⊃ i2b(~1);i2b(0)) ' + fillsgn((1 + # bytes0) + n, by ' + bytes0)
Proof step 41:
#(by ' + bytes0) < (1 + # bytes0) + n ∧ bytes2int(by ' + bytes0) < 0, bytes2int(by ' + bytes0) < 0 ⊦ mklist(i2b(~1), n + 1) + by ' + bytes0 = (¬ 0 ≤ b2i(by) ⊃ i2b(~1);i2b(0)) ' + mklist(i2b(~1), (1 + # bytes0) + n - #(by ' + bytes0)) + by ' + bytes0

Rule argument

name: fillsgn-neg rotate: F subst: [bytes, n] → [by ' + bytes0, (1 + # bytes0) + n]

Additional information

Used terms: by ' + bytes0, (1 + # bytes0) + n