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Proof step 17 from proof validrefs-put-badarrayfield-01 (previous step)

is_arraytype(st[r0 -- _type] .type), is_obj(str, r, st), junkref(str, st[r -- fs0 '] .refval, st), st[r -- _type] .type ≤ ty, fs0 ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- fs0 ']), validrefs(str, st[r -- fs0 '] .refval ' + refs, fs0 .type, st) ⊦ fs ' = _type, fs ' = _length, r = jvmref, r = r0, junkref(str, r, st[r0 -- fs ', val]), dups((st[r -- fs0 '] .refval ' + refs) .butlast), r ∈ (st[r -- fs0 '] .refval ' + refs) .butlast, validrefs(str, st[r -- fs0 '] .refval ' + refs, fs0 .type, st[r0 -- fs ', val]), ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ st[r -- fs '] .refval ≠ jvmref ∧ (¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r -- fs '] .refval, st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs0, class, ty0, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs0, class, ty0, fieldvar)]]