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Proof step 11 from proof unchNorec-put-nopathex (previous step)

⊦ sk = _type, r = jvmref, path∃(str, r, r0, st), junkref(str, r, st), (is_classtype(st[r -- _type] .type) → (fs ' ∈ instfields(st[r -- _type] .type .class) → st[r -- fs '] = (st[r0 -- sk, val][r -- fs ']))) ∧ ( is_arraytype(st[r -- _type] .type) → st[r -- _length] = (st[r0 -- sk, val][r -- _length]) ∧ (0 ≤ i ∧ i < st[r -- _length] .intval → st[r -- i '] = (st[r0 -- sk, val][r -- i '])))

User applied rule case distinction

And obtained the following new goals

Proof step 4:
⊦ is_classtype(st[r -- _type] .type) → (fs ' ∈ instfields(st[r -- _type] .type .class) → st[r -- fs '] = (st[r0 -- sk, val][r -- fs '])), sk = _type, r = jvmref, path∃(str, r, r0, st), junkref(str, r, st)
Proof step 10:
⊦ is_arraytype(st[r -- _type] .type) → st[r -- _length] = (st[r0 -- sk, val][r -- _length]) ∧ (0 ≤ i ∧ i < st[r -- _length] .intval → st[r -- i '] = (st[r0 -- sk, val][r -- i '])), sk = _type, r = jvmref, path∃(str, r, r0, st), junkref(str, r, st)

Rule argument

[CASEDARG : pos: right 5, ()]

Additional information

[[CONCRETESIMPRULES : ()]]