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Proof step 56 from proof validrefs-trans-01 (previous step)

is_obj(str, r, st), validrefs(str, (st[r -- fs '] .refval ' + refs0) .last ' + refs1, ty0, st), st[r -- _type] .type ≤ ty, fs ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- fs ']), validrefs(str, st[r -- fs '] .refval ' + refs0, fs .type, st), ∀ str0, ty1, st0, refs, ty2. validrefs(str0, st[r -- fs '] .refval ' + refs0, ty1, st0) ∧ validrefs(str0, (st[r -- fs '] .refval ' + refs0) .last ' + refs, ty2, st0) → validrefs(str0, (st[r -- fs '] .refval ' + refs0) + refs, ty1, st0) ⊦ r = jvmref, validrefs(str, r ' + (st[r -- fs '] .refval ' + refs0) + refs1, 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, ty3, 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, ty3, fieldvar)]]