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Proof step 358 from proof bitsand-cast (previous step)

# bits0 ≠ 0, n = # fillsgn(n, bits), # bits0 + 1 < n, # bits0 < # bits, # bits < n, # bits0 < n ⊦ bits0 = [], bits = [], mklist(false, n) = mklist(false, n - # bits0) + mklist(false, # bits0), bits0.first, true ∈ bits

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 359:
n = # fillsgn(n, bits), # bits0 + 1 < n, # bits0 < # bits, # bits < n, # bits0 < n ⊦ bits0 = [], bits = [], mklist(false, n) = mklist(false, n - # bits0) + mklist(false, # bits0), bits0.first, true ∈ bits

Rule argument

Additional information

Used simplifier rules: ⊦ # bits = 0 ↔ bits = [];