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Proof step 15 from proof exvalidrefs-maxlength (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
st[r0 -- mkfs(class, ty, fieldvar) '] = refval(r0), st[r0 -- _type] .type ≤ ty, is_reftype(ty), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_obj(str, r0, st), is_obj(r0, st), ∀ 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))) ⊦ r0 = jvmref, junkref(str, r0, st), validrefs(str, r0 ', ty, st), ∃ refs. validrefs(str, refs, st[refs .first -- _type] .type, st) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r0 ∧ ¬ has_reffield(refs .last, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty])]]