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Proof step 891 from proof bitsand-cast (previous step)

# bits1 ≤ #(bits2 + mklist(true, n) + bits0), # bits1 = n + # bits0, bits0.first, # bits0 < # bits1 ⊦ lastn(# bits1, mklist(true, n) + bits0) = lastn(# bits1, bits2 + mklist(true, n) + bits0), bits1 = [], bits2 + bits1 = [], bits0 = [], n = 0, false ∈ bits1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 892:
# bits1 = n + # bits0, bits0.first, # bits0 < # bits1, # bits0 < # bits2 + # bits1 ⊦ lastn(# bits1, mklist(true, n) + bits0) = lastn(# bits1, bits2 + mklist(true, n) + bits0), bits1 = [], bits2 + bits1 = [], bits0 = [], n = 0, false ∈ bits1

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0;% ⊦ m < n → n ≠ 0; (forward)% ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m ≤ m + n;% ⊦ m < n ∧ n ≤ n0 → m < n0; (forward)% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ # mklist(boolvar, n) = n;% ⊦ #(bits + bits0) = # bits + # bits0;