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Proof step 21 from proof sis-neg-low (previous step)

# int2bits(j0) = 17, j0 < 0, j0 < ~32768, ~65536 < j0 ⊦ j0 = 0, s2i(i2s(j0 + 65536)) = j0 + 65536

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: num-issi seq: ~32768 ≤ i, i ≤ 32767 ⊦ s2i(i2s((* i))) = i subst: [i] → [j0 + 65536] flags: rewrite, current

Additional information

Used simplifier rules: numle-02: ⊦ (* j) ≤ i0 + (* j0) ↔ j - j0 ≤ i0; from specification int-abs%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2%numle-03: ⊦ i + (* j) ≤ (* j0) ↔ i ≤ j0 - j; from specification int-abs%num-between: i + 1 = i0 ⊦ j < (* i0) → ¬ (* i) < j; from specification int-basic2%numlslsdel: j0 ≠ 0, j < j0 ⊦ i < (* j) → i < (* j0); from specification int-basic1%lst: ⊦ i < j ∧ ¬ i0 < j → ¬ i0 < i; from specification int-basic1 Used terms: j0 + 65536