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Proof step 10 from proof unchanged-array-forward (previous step)

unchanged(str, r, st, st1), i < st[r -- _length] .intval, is_array(str, r, st), is_referencevalue(st[r -- i ']), 0 ≤ i, 0 < st[r -- _length] .intval, st[r -- i '] .refval ≠ jvmref → st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ is_valid_ref(str, st[r -- i '] .refval, st) ⊦ r = jvmref, unchanged(str, st[r -- i '] .refval, st, st1)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 9:
st[r -- i '] = refval(r0), unchanged(str, r, st, st1), i < st[r -- _length] .intval, is_array(str, r, st), is_referencevalue(st[r -- i ']), 0 ≤ i, 0 < st[r -- _length] .intval, r0 ≠ jvmref → st[r0 -- _type] .type ≤ st[r -- _type] .type .type ∧ is_valid_ref(str, r0, st) ⊦ r = jvmref, unchanged(str, r0, st, st1)

Rule argument

[x0lemmaarg: spec-name: javavalue instance-name: lemma-name: elim-13 antecedent: succedent: is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) substlist: [val, r] → [st[r -- i '], r0] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r -- i '], r0)]]