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Proof step 2 from proof fill-one-01 (previous step)

⊦ fillsgn(n + 1, boolvar ') = boolvar ' + mklist(boolvar, n)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 < n → fillsgn(n, boolvar ') = mklist(boolvar, n)

Rule argument

name: fill-rec-one rotate: F subst: [boolvar, n] → [boolvar, n + 1]

Additional information

Used simplifier rules: ⊦ m + 1 ≠ 0;% ⊦ 0 < n ↔ n ≠ 0;% ⊦ mklist(boolvar, m + n) = mklist(boolvar, m) + mklist(boolvar, n);% ⊦ mklist(boolvar, 1) = boolvar ';% ⊦ mklist(boolvar, n) + boolvar ' = boolvar ' + mklist(boolvar, n);% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m;% ⊦ bits + bits0 = bits + bits1 ↔ bits0 = bits1; Used terms: boolvar, n + 1