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Proof step 65 from proof validrefs-putshort-field (previous step)

is_obj(str, r0, st), st[r0 -- mkfs(class0, ty0, fieldvar0) '] = refval(r1), validrefs(str, r1 ' + refs0, ty0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']), is_obj(str, r0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), mkfs(class0, ty0, fieldvar0) ' ∈ instfields(st[r0 -- _type] .type .class), junkref(str, r1, st), ∀ sho, fieldvar, class, r, st, ty, str, refs. # refs < # (r0 + r1 + refs0) → ( validrefs(str, refs, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∧ is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) → refs = [] ∨ junkref(str, refs .first, st) ∨ validrefs(str, refs, ty, st)) ⊦ r0 = jvmref, ty0 = short_type, ∃ 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 ' + refs0, ty0, st)

User applied rule exists right

And obtained the following new goals

Rule argument

[EXRARG : pos: right 3, [extquanttermlist: (mkfs(class0, ty0, fieldvar0)) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ ¬ junkref(str, jvmref, st)])], [EXTRATERMS : (mkfs(class0, ty0, fieldvar0))]]