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Proof step 40 from proof shiftzero-pos (previous step)

# int2bits(i) < i→n(j), 0 ≤ i, # int2bits(i) < n, n ≤ i→n(j) + (n - # int2bits(i)), # int2bits(i) < i→n(j) + (n - # int2bits(i)) ⊦ j = 0, bits2int(mklist(false, n)) = 0, n + i→n(j) = # int2bits(i)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 41:
⊦ ¬ true ∈ bits ∧ bits ≠ [] → bits2int(bits) = 0

Rule argument

seq: ⊦ ¬ true ∈ bits ∧ bits ≠ [] → bits2int(bits) = 0 subst: [bits] → [mklist(false, n)] rotate: F spec: int2bits inst: name: bits2int-zero-01

Additional information

Used simplifier rules: ⊦ ¬ true ∈ mklist(false, n);% ⊦ mklist(boolvar, m) = [] ↔ m = 0;% ⊦ m < n → n ≠ 0; Used terms: mklist(false, n)