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Proof step 25 from proof bib-pos-low (previous step)

lastn(8, int2bits(i)) = boolvar + bits ∧ lastn(8, int2bits(i)) ≠ [], i % 256 ≤ 127, 0 ≤ i, 127 < i, i % 256 < i, 0 < i, 8 ≤ # int2bits(i) ⊦ b2i(i2b(i % 256)) = i % 256, boolvar

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 26:
lastn(8, int2bits(i)) = false ' + bits, i % 256 ≤ 127, 0 ≤ i, 127 < i, i % 256 < i, 0 < i, 8 ≤ # int2bits(i) ⊦ b2i(i2b(i % 256)) = i % 256

Rule argument

Additional information

Used simplifier rules: ⊦ boolvar ∈ boolvar0 ' ↔ boolvar ↔ boolvar0;% ⊦ boolvar ∈ bits + bits0 ↔ ¬ ¬(boolvar ∈ bits ∨ boolvar ∈ bits0);% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ boolvar ' + bits = bits0 → boolvar ∈ bits0; (forward)% ⊦ lastn(n, bits) = [] ↔ n = 0;% ⊦ boolvar + bits = boolvar ' + bits;