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Proof step 5 from proof ac-dups-04 (previous step)

⊦ addclass(fs .class, (fs ' × val) ' + (fs ' × val0) ', st) = addclass(fs .class, (fs ' × val) ', st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 3:
⊦ addclass(class1, (mkfs(class1, ty, fieldvar) ' × val) ' + fis, st) = (addclass(class1, fis, st)[jvmref -- mkfs(class1, ty, fieldvar) ', val])
Proof step 4:
⊦ addclass(class1, (mkfs(class1, ty, fieldvar) ' × val) ', st) = (st[jvmref -- mkfs(class1, void_type, `initstate' .field) ', initval(done)][jvmref -- mkfs(class1, ty, fieldvar) ', val])

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (st[rk, val][rk, val0]) = st[rk, val0]], [CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1], [CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class, ty, fieldvar)]]