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Proof step 15 from proof tolist-at (previous step)

m < n, inv(buf) ⊦ (tolist(buf, n)[m]) = (buf .data)[(i→n(buf .first) + m) % i→n(buf .size)]

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ tolist(buf, 0) = []
Proof step 14:
∀ m, buf. m < n0 ∧ inv(buf) → (tolist(buf, n0)[m]) = (buf .data)[(i→n(buf .first) + m) % i→n(buf .size)], m < n0 +1, inv(buf) ⊦ (tolist(buf, n0 +1)[m]) = (buf .data)[(i→n(buf .first) + m) % i→n(buf .size)]

Rule argument

[VARWITHVARSEQSARG : n, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : nat generated by 0, +1;], [CSIMPSEQ : ⊦ ¬ m < 0])]]