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Proof step 2 from proof bor-sis (previous step)

~32768 ≤ i, i ≤ 32767, ~32768 ≤ j, j ≤ 32767 ⊦ s2i(i2s(bor(i, j))) = bor(i, j)

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ bor(s2i(sho1), s2i(sho2)) = s2i(i2s(bor(s2i(sho1), s2i(sho2))))
Proof step 4:
bor(s2i(i2s(i)), s2i(i2s(j))) = s2i(i2s(bor(s2i(i2s(i)), s2i(i2s(j))))), ~32768 ≤ i, i ≤ 32767, ~32768 ≤ j, j ≤ 32767 ⊦ s2i(i2s(bor(i, j))) = bor(i, j)

Rule argument

name: fits-law-bor-02 subst: [sho1, sho2] → [i2s(i), i2s(j)]

Additional information

Used terms: i2s(i), i2s(j)