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Proof step 6 from proof ushort-band-shift-01 (previous step)
| 0 ≤ us2i(sho) ⊦ band(255, us2i(sho) / 256) = us2i(sho) / 256 |
User applied rule insert rewrite lemma
And obtained the following new goals
- Proof step 7:
⊦ 0 ≤ i → band(i, 255) = i % 256
- Proof step 8:
0 ≤ us2i(sho) / 256, 0 ≤ us2i(sho) ⊦ (us2i(sho) / 256) % 256 = us2i(sho) / 256
Rule argument
seq: ⊦ 0 ≤ i → band(i, 255) = i % 256
subst: [i] → [us2i(sho) / 256]
rotate: F
spec: intops
inst:
name: band-255-posAdditional information
Used simplifier rules:
⊦ 0 < j ∧ 0 ≤ i → 0 ≤ i / j;% ⊦ band(i, j) = band(j, i);
Used terms: us2i(sho) / 256