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Proof step 26 from proof sis-pos-high (previous step)

# int2bits(j0) = 17, 0 < j0, 0 ≤ j0, 32767 < j0, j0 < 65536 ⊦ j0 = s2i(i2s(j0 - 65536)) + 65536

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: byte 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: Sub-def: ⊦ i + (j - i) = j; from specification int-abs%sub-le-01: ⊦ i ≤ j - i0 ↔ i + i0 ≤ j; 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%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs%sub-le: ⊦ i - j ≤ i0 ↔ i ≤ j + i0; from specification int-abs%lst: ⊦ i < j ∧ ¬ i0 < j → ¬ i0 < i; from specification int-basic1%numlslsdel: j0 ≠ 0, j < j0 ⊦ i < (* j) → i < (* j0); from specification int-basic1%num-between: i + 1 = i0 ⊦ j < (* i0) → ¬ (* i) < j; from specification int-basic2 Used terms: j0 - 65536