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Proof step 13 from proof ac-init-first (previous step)

class ∈ claset ⊦ claset = ∅, class = `java.lang.Object' .class, init(claset, addclass(class, fis, st)) ↔ init(claset -- class, st), # claset = 0, mkfs(class, void_type, `initstate' .field) ' ∈ fis

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ init(claset, st) ↔ (∀ class. class ∈ claset → initdone(class, st))
Proof step 12:
class ∈ claset ⊦ claset = ∅, class = `java.lang.Object' .class, (∀ class0. class0 ∈ claset → initdone(class0, addclass(class, fis, st))) ↔ init(claset -- class, st), # claset = 0, mkfs(class, void_type, `initstate' .field) ' ∈ fis

Rule argument

[speclemmaarg: ,init(claset, st) ↔ (∀ class. class ∈ claset → initdone(class, st)) ,[st, claset] → [addclass(class, fis, st), claset] ,F ,storefunsx , ,init ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addclass(class, fis, st), claset)]]