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Proof step 17 from proof uint2bits-2pot-02 (previous step)

1 < i, 0 ≤ 2 ^ i, 0 < 2 ^ i, 1 < 2 ^ i, 0 < i, 0 ≤ i, ∀ i0. i→n(i0) < i→n(i) → 0 < i0 → uint2bits(2 ^ i0 - 1) = false ' + mklist(true, i→n(i0)) ⊦ i = 1, uint2bits(2 ^ (i - 1) - 1) + true ' = false ' + mklist(true, i→n(i))

Heuristic var elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 18:
i = i1 + 1, 1 < i, 0 ≤ 2 ^ i, 0 < 2 ^ i, 1 < 2 ^ i, 0 < i, 0 ≤ i, ∀ i0. i→n(i0) < i→n(i) → 0 < i0 → uint2bits(2 ^ i0 - 1) = false ' + mklist(true, i→n(i0)) ⊦ i = 1, uint2bits(2 ^ i1 - 1) + true ' = false ' + mklist(true, i→n(i))

Rule argument

seq: ⊦ i0 = i - j ↔ i = i0 + j subst: [i, j, i0] → [i, 1, i1] rotate: T spec: int-abs inst: name: elim-sub

Additional information

Used simplifier rules: ⊦ i0 = i - j ↔ i = i0 + j; (elim) Used terms: i, 1, i1