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Proof step 10 from proof fits-law-shr-01 (previous step)

abs(s2i(sho) i>> band(i, 31)) ≤ s2i(sho), 0 < s2i(sho) ⊦ s2i(sho) i>> band(i, 31) = s2i(i2s(s2i(sho) i>> band(i, 31)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ ¬ j < 0 → abs(j) = j
Proof step 12:
¬ ¬ s2i(sho) i>> band(i, 31) < 0, abs(s2i(sho) i>> band(i, 31)) ≤ s2i(sho), 0 < s2i(sho) ⊦ s2i(sho) i>> band(i, 31) = s2i(i2s(s2i(sho) i>> band(i, 31)))
Proof step 15:
¬ s2i(sho) i>> band(i, 31) < 0, s2i(sho) i>> band(i, 31) ≤ s2i(sho), 0 < s2i(sho) ⊦ s2i(sho) i>> band(i, 31) = s2i(i2s(s2i(sho) i>> band(i, 31)))

Rule argument

seq: ⊦ ¬ j < 0 → abs(j) = j subst: [j] → [s2i(sho) i>> band(i, 31)] rotate: F spec: int-abs inst: name: Abs-pos

Additional information

Used terms: s2i(sho) i>> band(i, 31)