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Proof step 35 from proof pathex-put-nopathex (previous step)

is_obj(str, r, st), st[r -- mkfs(class, ty, fieldvar) '] = refval(r1), validrefs(str, r1 ' + refs1, ty, st[r0 -- sk, val]), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), path∃(str, r1, r0, st) ∨ junkref(str, r1, st) ∨ path∃(str, r1, (r1 ' + refs1) .last, st), ∀ val0, sk0, r3, st0, r2, str, refs. # refs < # (r1 + refs1) → ( validrefs(str, r2 ' + refs, st0[r2 -- _type] .type, st0[r3 -- sk0, val0]) → sk0 = _type ∨ path∃(str, r2, r3, st0) ∨ junkref(str, r2, st0) ∨ path∃(str, r2, (r2 ' + refs) .last, st0)) ⊦ r = jvmref, sk = _type, r = r0, path∃(str, r, (r1 ' + refs1) .last, st), path∃(str, r, r0, st), ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ (is_reftype(fs .type) ∨ fs .type = abstract_type) ∧ st[r -- fs '] .refval ≠ jvmref ∧ (¬ is_referencevalue(st[r -- fs ']) ∨ ¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r -- fs '] .refval, st))

User applied rule exists right

And obtained the following new goals

Proof step 34:
is_obj(str, r, st), st[r -- mkfs(class, ty, fieldvar) '] = refval(r1), validrefs(str, r1 ' + refs1, ty, st[r0 -- sk, val]), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), path∃(str, r1, r0, st) ∨ junkref(str, r1, st) ∨ path∃(str, r1, (r1 ' + refs1) .last, st), ∀ val0, sk0, r3, st0, r2, str, refs. # refs < # (r1 + refs1) → ( validrefs(str, r2 ' + refs, st0[r2 -- _type] .type, st0[r3 -- sk0, val0]) → sk0 = _type ∨ path∃(str, r2, r3, st0) ∨ junkref(str, r2, st0) ∨ path∃(str, r2, (r2 ' + refs) .last, st0)) ⊦ r = jvmref, sk = _type, r = r0, path∃(str, r, (r1 ' + refs1) .last, st), path∃(str, r, r0, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class) ∧ (is_reftype(mkfs(class, ty, fieldvar) .type) ∨ mkfs(class, ty, fieldvar) .type = abstract_type) ∧ st[r -- mkfs(class, ty, fieldvar) '] .refval ≠ jvmref ∧ ( ¬ is_referencevalue(st[r -- mkfs(class, ty, fieldvar) ']) ∨ ¬ st[st[r -- mkfs(class, ty, fieldvar) '] .refval -- _type] .type ≤ mkfs(class, ty, fieldvar) .type ∨ junkref(str, st[r -- mkfs(class, ty, fieldvar) '] .refval, st))

Rule argument

[EXRARG : pos: right 6, [extquanttermlist: (mkfs(class, ty, fieldvar)) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (mkfs(class, ty, fieldvar))]]