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Proof step 10 from proof int2bits-mod2-len (previous step)

0 = i0 * 2 + j, j < 2, 0 ≤ i0, 0 ≤ j ⊦ # uint2bits(j) = 1

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ i ≠ 1 ∧ 0 ≤ i → (i < 2 ↔ i = 0) subst: [i] → [j] rotate: F spec: int-abs inst: name: lstwo

Additional information

Used simplifier rules: uint2bits-zero: ⊦ uint2bits(0) = false ';% ⊦ # boolvar ' = 0 +1;% ⊦ 2 * i = 0 ↔ i = 0;% ⊦ i + 0 = i;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false);% ⊦ (* j) = i0 + (* j0) ↔ j - j0 = i0;% ⊦ 2 * i ≠ ~1;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i; Used terms: j