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Proof step 2 from proof uint2bits-pred (previous step)

0 < j ⊦ uint2bits(j - 1) = sgn(bitsinvert(bitsinvert(uint2bits(j)) +1))

User applied rule induction

And obtained the following new goals

Proof step 3:
0 < j, ∀ j0. i→n(j0) < i→n(j) → 0 < j0 → uint2bits(j0 - 1) = sgn(bitsinvert(bitsinvert(uint2bits(j0)) +1)) ⊦ uint2bits(j - 1) = sgn(bitsinvert(bitsinvert(uint2bits(j)) +1))

Rule argument

indvar: i→n(j) wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: i→n(j)