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Proof step 39 from proof fillsgn-rec (previous step)

bytes2int(by ' + bytes0) < 0 ⊦ i2b(~1) = (¬ 0 ≤ b2i(by) ⊃ i2b(~1);i2b(0))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 40:
⊦ bytes ≠ [] → (bytes2int(bytes) < 0 ↔ b2i(bytes.first) < 0)

Rule argument

name: bytes2int-neg rotate: F subst: [bytes] → [by ' + bytes0]

Additional information

Used simplifier rules: ⊦ by ' ≠ [];% ⊦ ¬ bytes + bytes0 ≠ [] ↔ bytes = [] ∧ bytes0 = [];% ⊦ by ' + bytes ≠ [];% ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1;% ⊦ (by ' + bytes).first = by;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false);%~128 ≤ i, i ≤ 127, ~128 ≤ j, j ≤ 127 ⊦ i2b((* i)) = i2b((* j)) ↔ i = j; Used terms: by ' + bytes0