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Proof step 16 from proof validrefs-applast-class (previous step)

validrefs(str, refs + r ', ty, st), is_referencevalue(st[r -- fs ']), is_obj(str, r, st), fs ' ∈ instfields(st[r -- _type] .type .class), st[st[r -- fs '] .refval -- _type] .type ≤ fs .type, is_valid_ref(str, st[r -- fs '] .refval, st), type∃(str, st[st[r -- fs '] .refval -- _type] .type) ⊦ validrefs(str, refs + r ' + st[r -- fs '] .refval ', ty, 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] → [fs, 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 : (fs, class, ty0, fieldvar)]]