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Proof step 16 from proof bits2bits-sgn (previous step)

8 - # bits ≠ 0, ~128 ≤ bits2int(bits), bits2int(bits) ≤ 127, # bits ≤ 8, ∀ bits0. # bits0 < # bits → true → bits0 = [] ∨ sgn(bytes2bits(bits2bytes(bits0))) = sgn(bits0) ⊦ bits = [], sgn(bits.first ' + bits) = sgn(bits)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: bits ≠ [], bits.first ↔ boolvar ⊦ sgn(boolvar ' + bits) = sgn(bits) subst: [bits, boolvar] → [bits, bits.first] rotate: F spec: bitopsaux inst: name: sgn-rec-01

Additional information

Used simplifier rules: ⊦ m ≤ n → (n - m = 0 ↔ n = m);% ⊦ m ≠ n → (m ≤ n ↔ m < n); Used terms: bits, bits.first