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Proof step 42 from proof sis-neg-high (previous step)

~32768 < j, # int2bits(j) ≤ 16, ~32768 ≤ j, 65536 * i0 + j < ~32768, 65536 * i0 + j < 0, i0 < 0, j < 0 ⊦ s2i(i2s(j)) = j

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 43:
~32768 ≤ i, i ≤ 32767 ⊦ s2i(i2s((* i))) = i

Rule argument

name: num-issi rotate: F subst: [i] → [j]

Additional information

Used simplifier rules: ⊦ i * j = j * i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;%i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i < j ∧ ¬ i0 < j → ¬ i0 < i; Used terms: j