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Proof step 52 from proof shiftright-rec-pos (previous step)

¬(¬ true ∈ firstn(1, mklist(false, i→n(i0)) + false ') ∧ firstn(1, mklist(false, i→n(i0)) + false ') ≠ []), 0 ≤ i0 ⊦ bits2int(firstn(1, mklist(false, i→n(i0)) + false ' + false ')) = bits2int(firstn(1, mklist(false, i→n(i0)) + false '))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 53:
0 ≤ i0, true ∈ firstn(1, mklist(false, i→n(i0)) + false ') ⊦ bits2int(firstn(1, mklist(false, i→n(i0)) + false ' + false ')) = bits2int(firstn(1, mklist(false, i→n(i0)) + false '))

Rule argument

Additional information

Used simplifier rules: ⊦ firstn(n, bits) = [] ↔ n = 0;