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Proof step 26 from proof bitsand-fillsgn (previous step)

¬(¬ true ∈ mklist(false, n) ∧ # bits0 < # mklist(false, n) ∧ ¬ bits0.first ∧ mklist(false, n) ≠ [] ∧ bits0 ≠ []), ∀ n, bits, bits1. # bits1 < # bits0 → true → bits = [] ∨ bits1 = [] ∨ fillsgn(n, bitsand(fillsgn(n, bits), bits1)) = fillsgn(n, bitsand(bits, bits1)) ⊦ bits0 = [], fillsgn(n, bitsand(mklist(false, n), bits0)) = mklist(false, n), n = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
∀ n, bits, bits1. # bits1 < # bits0 → true → bits = [] ∨ bits1 = [] ∨ fillsgn(n, bitsand(fillsgn(n, bits), bits1)) = fillsgn(n, bitsand(bits, bits1)) ⊦ bits0 = [], fillsgn(n, bitsand(mklist(false, n), bits0)) = mklist(false, n), n = 0, ¬ n ≤ # bits0 ∧ ¬ bits0.first

Rule argument

Additional information

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