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Proof step 7 from proof succ-fill (previous step)

1 + # bits0 < n, false ∈ bits0 ⊦ fillsgn(n, boolvar ' + bits0) +1 = fillsgn(n, boolvar ' + bits0 +1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ # bits < n → fillsgn(n, boolvar ' + bits) = mklist(boolvar, n - # bits) + bits
Proof step 9:
# bits0 < n, 1 + # bits0 < n, false ∈ bits0 ⊦ (mklist(boolvar, n - # bits0) + bits0)+1 = fillsgn(n, boolvar ' + bits0 +1)

Rule argument

name: fillsgn-fill rotate: F subst: [bits, boolvar, n] → [bits0, boolvar, n]

Additional information

Used simplifier rules: ⊦ ¬ m < n → ¬ m + m0 < n;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m; Used terms: bits0, boolvar, n