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Proof step 2 from proof band-011x-is-unsigned-03 (previous step)

i→n(i) = # int2bits(j), 0 < i ⊦ band(j, 2 ^ i - 1) = bits2uint(int2bits(j))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
0 ≤ i ⊦ i→n(i) = (* m) ↔ i = n→i(m)
Proof step 4:
0 ≤ i, i = n→i(# int2bits(j)), 0 < i ⊦ band(j, 2 ^ i - 1) = bits2uint(int2bits(j))

Rule argument

seq: 0 ≤ i ⊦ i→n(i) = (* m) ↔ i = n→i(m) subst: [m, i] → [# int2bits(j), i] rotate: F spec: intnat inst: name: num-i2n-eq

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i < j → ¬ j < i; Used terms: # int2bits(j), i