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Proof step 4 from proof ac-init-11 (previous step)

⊦ initdone(class1, addclass(class1, fis + (mkfs(class1, void_type, `initstate' .field) ' × val) ', st)) ↔ val ≠ initval(error) ∧ val ≠ initval(undone), mkfs(class1, void_type, `initstate' .field) ' ∈ fis

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ initdone(class1, st) ↔ ¬ initerror(class1, st) ∧ ¬ initundone(class1, st)
Proof step 2:
¬ mkfs(class1, void_type, `initstate' .field) ' ∈ fis ⊦ initerror(class1, addclass(class1, fis + (mkfs(class1, void_type, `initstate' .field) ' × val) ', st)) ↔ val = initval(error)
Proof step 3:
¬ mkfs(class1, void_type, `initstate' .field) ' ∈ fis ⊦ initundone(class1, addclass(class1, fis + (mkfs(class1, void_type, `initstate' .field) ' × val) ', st)) ↔ val = initval(undone)

Rule argument

[speclemmaarg: , initdone(class1, st) ↔ ¬ initerror(class1, st) ∧ ¬ initundone(class1, st) ,[st, class1] → [addclass (class1, fis + (mkfs(class1, void_type, `initstate' .field) ' × val) ', st), class1] ,F ,storefuns , ,initdone ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1])], [EXTRATERMS : (addclass (class1, fis + ( mkfs(class1, void_type, `initstate' .field) ' × val ) ', st), class1)]]