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Proof step 57 from proof validrefs-del-junkrefs (previous step)

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) ⊦ r0 = jvmref, r = r1, r = r0, r ∈ acc, junkref(str, r0, st), validrefs(str, r1 ' + acc + r ', ty0, st)

User applied rule all left

And obtained the following new goals

Proof step 56:
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[r1 -- _type] .type ≤ ty0 ∧ junkrefs(str, (r1 ' + acc) + r ', ty0, st -- r) → r = r1 ∨ junkref(str, r1, st) ∨ r ∈ acc ∨ validrefs(str, r1 ' + acc + r ', ty0, st), ∀ 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) ⊦ r0 = jvmref, r = r1, r = r0, r ∈ acc, junkref(str, r0, st), validrefs(str, r1 ' + acc + r ', ty0, st)

Rule argument

[EXRARG : pos: left 6, [extquanttermlist: (st, r1, ty0, str, r) abort:F , discard:F , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r1, ty0, str, r)]]