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Proof step 52 from proof junkref-addarray-01 (previous step)

vals[i→n(i)] = refval(r0), i < n→i(# vals), class∃(str, ty .class), is_classtype(ty), newref(r, st), is_array(str, r, addarray(r, ty, vals, st)), 0 ≤ i, junkrefs(str, r0 ' + refs, ty, addarray(r, ty, vals, st)), refval(r0) ∈ vals → ¬ junkref(str, r0, st) ∧ (r0 ≠ jvmref → st[r0 -- _type] .type ≤ ty) ⊦ r = jvmref, vals = []

User applied rule case distinction

And obtained the following new goals

Proof step 39:
vals[i→n(i)] = refval(r0), i < n→i(# vals), class∃(str, ty .class), is_classtype(ty), newref(r, st), is_array(str, r, addarray(r, ty, vals, st)), 0 ≤ i, junkrefs(str, r0 ' + refs, ty, addarray(r, ty, vals, st)) ⊦ refval(r0) ∈ vals, r = jvmref, vals = []
Proof step 51:
¬ junkref(str, r0, st) ∧ (r0 ≠ jvmref → st[r0 -- _type] .type ≤ ty), vals[i→n(i)] = refval(r0), i < n→i(# vals), class∃(str, ty .class), is_classtype(ty), newref(r, st), is_array(str, r, addarray(r, ty, vals, st)), 0 ≤ i, junkrefs(str, r0 ' + refs, ty, addarray(r, ty, vals, st)) ⊦ r = jvmref, vals = []

Rule argument

[CASEDARG : pos: left 9, ()]

Additional information

[[CONCRETESIMPRULES : ()]]