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Proof step 9 from proof cast-law-shift-snd-l (previous step)

6 < # int2bits(31), 5 ≤ i, 0 < i, 0 ≤ i, i < n→i(# int2bits(31) - 1) ⊦ # int2bits(31) - 1 = 1, # int2bits(31) - 1 = 0, bits2int(int2bits(j0) + mklist(false, i→n(band(j, 31)))) = bits2int(int2bits(j0) + mklist(false, i→n(band(cast(i, j), 31))))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

seq: n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1 subst: [n, m] → [# int2bits(31), m] rotate: T spec: nat inst: name: elim-pred-c

Additional information

Used simplifier rules: ⊦ # bits = 0 ↔ bits = [];% ⊦ int2bits(j) ≠ [];%n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1; (elim) Used terms: # int2bits(31), m