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Proof step 47 from proof bytes2bytes-zero (previous step)

b2i(by) = 0, b2i(by0) < 0, ∀ by0, by, bytes0. # bytes0 < # bytes → b2i(by) = 0 ∧ b2i(by0) < 0 → bits2bytes(sgn(byte2bits(by) + byte2bits(by0) + bytes2bits(bytes0))) = by ' + by0 ' + bytes0 ⊦ bytes = [], bits2bytes(sgn(byte2bits(by) + byte2bits(by0) + bytes2bits(bytes))) = by ' + by0 ' + bytes

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 48:
⊦ bytes ≠ [] ↔ (∃ bytes0, by. bytes = bytes0 + by ')
Proof step 49:
b2i(by) = 0, b2i(by0) < 0, ∀ by0, by, bytes0. # bytes0 < # bytes → b2i(by) = 0 ∧ b2i(by0) < 0 → bits2bytes(sgn(byte2bits(by) + byte2bits(by0) + bytes2bits(bytes0))) = by ' + by0 ' + bytes0 ⊦ ∀ bytes0, by. bytes ≠ bytes0 + by ', bits2bytes(sgn(byte2bits(by) + byte2bits(by0) + bytes2bits(bytes))) = by ' + by0 ' + bytes

Rule argument

seq: ⊦ bytes ≠ [] ↔ (∃ bytes0, by. bytes = bytes0 + by ') subst: [bytes] → [bytes] rotate: F spec: list inst: bytelist name: lastdiv-rew

Additional information

Used terms: bytes