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Proof step 17 from proof validrefs-maxlen (previous step)

is_obj(str, r, st), # st .refs ≤ # refs, st[r -- _type] .type ≤ ty, fs ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- fs ']), validrefs(str, st[r -- fs '] .refval ' + refs, fs .type, st), ∀ str0, ty0, st0. validrefs(str0, st[r -- fs '] .refval ' + refs, ty0, st0) → # refs ≤ # st0 .refs ⊦ r = jvmref, r = st[r -- fs '] .refval, dups(refs), st[r -- fs '] .refval ∈ refs, r ∈ refs

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] → [fs, class, ty1, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class, ty1, fieldvar)]]