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Proof step 6 from proof create-corr (previous step)

0 < i, ¬ inv(mk(mkarray(i→n(i)), i, 0, 0)) ∨ ¬ abs(mk(mkarray(i→n(i)), i, 0, 0), []) ∨ mk(mkarray(i→n(i)), i, 0, 0) .size ≠ i ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ inv(buf) ↔ buf .size = n→i(# buf .data) ∧ buf .size ≠ 0 ∧ 0 ≤ buf .first ∧ buf .first < buf .size ∧ 0 ≤ buf .len ∧ buf .len ≤ buf .size
Proof step 5:
0 < i, ¬ ( mk(mkarray(i→n(i)), i, 0, 0) .size = n→i(# mk(mkarray(i→n(i)), i, 0, 0) .data) ∧ mk(mkarray(i→n(i)), i, 0, 0) .size ≠ 0 ∧ 0 ≤ mk(mkarray(i→n(i)), i, 0, 0) .first ∧ mk(mkarray(i→n(i)), i, 0, 0) .first < mk(mkarray(i→n(i)), i, 0, 0) .size ∧ 0 ≤ mk(mkarray(i→n(i)), i, 0, 0) .len ∧ mk(mkarray(i→n(i)), i, 0, 0) .len ≤ mk(mkarray(i→n(i)), i, 0, 0) .size) ∨ ¬ abs(mk(mkarray(i→n(i)), i, 0, 0), []) ∨ mk(mkarray(i→n(i)), i, 0, 0) .size ≠ i ⊦

Rule argument

[x0lemmaarg: spec-name: ring-buffer-inv instance-name: lemma-name: inv antecedent: succedent: inv(buf) ↔ buf .size = n→i(# buf .data) ∧ buf .size ≠ 0 ∧ 0 ≤ buf .first ∧ buf .first < buf .size ∧ 0 ≤ buf .len ∧ buf .len ≤ buf .size substlist: [buf] → [mk(mkarray(i→n(i)), i, 0, 0)] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 1, 1, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (mk(mkarray(i→n(i)), i, 0, 0))]]