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Proof step 3 from proof and-false (previous step)

bits = boolvar + bits2, bitsand(bits, bits0) = false ' + bits1, boolvar, bits0.first, false ∈ bitsand(bits, bits0) ⊦ bits0 = [], bits = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
bitsand(true ' + bits2, bits0) = false ' + bits1, bits0.first ⊦ bits0 = []

Rule argument

Additional information

Used simplifier rules: ⊦ boolvar ∈ boolvar0 ' ↔ boolvar ↔ boolvar0;% ⊦ boolvar ∈ bits + bits0 ↔ ¬ ¬(boolvar ∈ bits ∨ boolvar ∈ bits0);% ⊦ boolvar ' + bits = bits0 → boolvar ∈ bits0; (forward)% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ boolvar ' + bits ≠ [];% ⊦ boolvar + bits = boolvar ' + bits;