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Proof step 8 from proof int2bytes-le255 (previous step)

0 ≤ i, 127 < i, i ≤ 255, 0 < i, 0 ≤ i, # uint2bits(i) ≤ 8 ⊦ i2b(i) ' = i2b(0) ' + i2b(i - 256) '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
0 ≤ i, 2 ^ i ≤ j, j < 2 ^ (i + 1) ⊦ # uint2bits(j) = i→n(i + 2)

Rule argument

seq: 0 ≤ i, 2 ^ i ≤ j, j < 2 ^ (i + 1) ⊦ # uint2bits(j) = i→n(i + 2) subst: [i, j] → [7, i] rotate: F spec: int2bits inst: name: uint2bits-len

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i < j ∧ j < i0 → i +1 < i0; (forward)% ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1; (forward) Used terms: 7, i