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Proof step 78 from proof exvalidrefs-maxlength (previous step)

st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), is_obj(r, st), is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_reftype(ty), st[r0 -- _type] .type ≤ ty, validrefs(str, r0 ', st[r0 -- _type] .type, st -- r), ∀ r, str, st0. # st0 .refs < # st .refs → ( true → cyclic(str, r, st0) ∨ junkref(str, r, st0) ∨ (∃ refs. validrefs(str, refs, st0[refs .first -- _type] .type, st0) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ ¬ has_reffield(refs .last, st0))) ⊦ r = r0, r = jvmref, r0 = jvmref, cyclic(str, r, st), junkref(str, r0, st), has_reffield(r0, st), ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ r0 = st[r -- fs '] .refval ∧ validrefs(str, st[r -- fs '] .refval ', fs .type, st)

User applied rule exists right

And obtained the following new goals

Proof step 77:
⊦ ¬ validrefs(str, refs, ty0, st) ∧ ty ≤ ty0 → ¬ validrefs(str, refs, ty, st -- r)

Rule argument

[EXRARG : pos: right 7, [extquanttermlist: (mkfs(class, ty, 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])], [EXTRATERMS : (mkfs(class, ty, fieldvar))]]