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Proof step 21 from proof validrefs-put-statfield (previous step)

fs ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- fs ']), validrefs(str, st[r -- fs '] .refval ' + refs, fs .type, st), is_obj(str, r, st), st[r -- _type] .type ≤ ty, ∀ str0, ty0, st0, sk0, val0. validrefs(str0, st[r -- fs '] .refval ' + refs, ty0, st0[jvmref -- sk0, val0]) ↔ validrefs(str0, st[r -- fs '] .refval ' + refs, ty0, st0) ⊦ r = jvmref, ∃ fs0. fs0 ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs0 ']) ∧ st[r -- fs '] .refval = st[r -- fs0 '] .refval ∧ validrefs(str, st[r -- fs0 '] .refval ' + refs, fs0 .type, st[jvmref -- sk, val])

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)]]