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Proof step 10 from proof longshiftzero-zero (previous step)

true ∈ firstn (64, mklist(false, i→n(band(j, 63))) + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ') ⊦ bits2int (firstn (64, mklist(false, i→n(band(j, 63))) + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ')) = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ ¬ boolvar ∈ bits ∧ n ≤ # bits → ¬ boolvar ∈ firstn(n, bits) subst: [bits, n, boolvar] → [ mklist(false, i→n(band(j, 63))) + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ', 64, true] rotate: F spec: list-del inst: bitlista name: firstN-in

Additional information

Used simplifier rules: ⊦ boolvar ∈ bits + bits0 ↔ ¬ ¬(boolvar ∈ bits ∨ boolvar ∈ bits0);% ⊦ ¬ true ∈ mklist(false, n);% ⊦ boolvar ∈ boolvar0 ' ↔ boolvar ↔ boolvar0;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ #(bits + bits0) = # bits + # bits0;% ⊦ # mklist(boolvar, n) = n;% ⊦ # boolvar ' = 0 +1;% ⊦ ¬ m ≤ n ↔ n < m;% ⊦ ¬ m + n < m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m; Used terms: mklist(false, i→n(band(j, 63))) + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ' + false ', 64, true