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Proof step 4 from proof ac-init-03 (previous step)

⊦ class1 = class2, class2 = `java.lang.Object' .class, initdone(class1, addclass(class2, fis, st)) ↔ initdone(class1, st)

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:
class1 ≠ class2 ⊦ initerror(class1, addclass(class2, fis, st)) ↔ initerror(class1, st)
Proof step 3:
class1 ≠ class2, class2 ≠ `java.lang.Object' .class ⊦ initundone(class1, addclass(class2, fis, st)) ↔ initundone(class1, st)

Rule argument

[speclemmaarg: , initdone(class1, st) ↔ ¬ initerror(class1, st) ∧ ¬ initundone(class1, st) ,[st, class1] → [addclass(class2, fis, st), class1] ,F ,storefuns , ,initdone ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ initdone(class, st) → ( ¬ initundone(class, st) ↔ initerror(class, st))], [CSIMPSEQ : ⊦ initdone(class1, st) → ¬ initerror(class1, st)], [CSIMPSEQ : ⊦ initdone(class1, st) → ¬ initundone(class1, st)])], [EXTRATERMS : (addclass(class2, fis, st), class1)]]