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Proof step 24 from proof uint2bits-add-high (previous step)

0 ≤ 2 ^ i + i, 0 ≤ 2 ^ i, 0 < 2 ^ i, 0 ≤ 2 ^ i + 2 ^ i, 2 < 2 ^ i + i, 2 ^ (i - 1) + 2 < 2 ^ i + i, 2 ^ (i - 1) < 2 ^ i, 1 < 2 ^ i, 2 ^ (i - 1) + 1 < 2 ^ i, 2 < 2 ^ i + 2 ^ i, 2 ^ (i - 1) + 2 < 2 ^ i + 2 ^ i, (true ' + mklist(false, i→n(i))).last, 0 < i, ∀ i0, j. i→n(i0) < i→n(i) → true → j < 0 ∧ 0 < i0 ∧ 2 ^ (i0 - 1) < abs(j) ∧ abs(j) ≤ 2 ^ i0 → uint2bits(j + 2 ^ i0) = sgn(int2bits(j).rest) ⊦ false ' + true ' = sgn(sgn(sgn(false ' + (false ' + true ' + mklist(false, i→n(i)))+1).rest).rest), i = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ m ≠ 0 → ((bits + mklist(boolvar, m)).last ↔ boolvar) subst: [m, boolvar, bits] → [i→n(i), false, true '] rotate: F spec: list-last inst: bitlista name: mk-last-01-01

Additional information

Used simplifier rules: ⊦ i→n(i) = 0 ↔ i = 0; Used terms: i→n(i), false, true '