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Proof step 3 from proof hassharing-bytearray (previous step)

st[r -- sks0] = refval(r0), st[r -- (sk ' + sks1)] = refval(r0), fits(r, sks0, st), okbytearray(r, st), is_referencevalue(st[r -- sk]), fits(st[r -- sk] .refval, sks1, st), is_indexkey(sk), sk .index < st[r -- _length] .intval, 0 ≤ sk .index, 0 < st[r -- _length] .intval, ∀ st, r, sks0, r0. st[r -- sks0] = refval(r0) ∧ st[r -- sks1] = refval(r0) ∧ okbytearray(r, st) ∧ fits(r, sks1, st) ∧ fits(r, sks0, st) → sks0 = sks1 ∨ sks0 = [] ∨ sks1 = [] ∨ r0 = jvmref ⊦ sks0 = [], r0 = jvmref, sks0 = sk ' + sks1, r = jvmref

Heuristic elimination applied rule insert elim lemma

And closed the goal!

Rule argument

[x0lemmaarg: spec-name: storekey instance-name: lemma-name: elim-04 antecedent: succedent: is_indexkey(sk) → (i = sk .index ↔ sk = i ') substlist: [sk, i] → [sk, i] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : okfuns, , okbytearray-not, ⊦ is_referencevalue (st[r -- i ']) ∧ 0 ≤ i ∧ i < st[r -- _length] .intval → ¬ okbytearray(r, st)], [CSIMPELIM : ⊦ is_indexkey(sk) → (i = sk .index ↔ sk = i ')])], [EXTRATERMS : (sk, i)]]