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Proof step 53 from proof validrefs-del-junkrefs (previous step)

is_obj(str, r0, st), st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), junkrefs(str, (r1 ' + acc) + r ', ty0, st -- r), ∀ st, r0, ty, str, r. st[r0 -- _type] .type ≤ ty ∧ junkrefs(str, (r0 ' + acc) + r ', ty, st -- r) → r = r0 ∨ junkref(str, r0, st) ∨ r ∈ acc ∨ validrefs(str, r0 ' + acc + r ', ty, st), st[r1 -- _type] .type ≤ ty0 → junkref(str, r1, st) ⊦ r0 = jvmref, r = r1, r = r0, r ∈ acc, ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ st[r0 -- fs '] .refval ≠ jvmref ∧ (¬ st[st[r0 -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r0 -- fs '] .refval, st)), validrefs(str, r1 ' + acc + r ', ty0, st)

User applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 5, [extquanttermlist: (mkfs(class, ty0, fieldvar)) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ ¬ junkrefs (str, jvmref ' + refs, ty, st)], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (mkfs(class, ty0, fieldvar))]]