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Proof step 10 from proof ac-init-first (previous step)

class ∈ claset ⊦ # claset = 0, claset = ∅, class = `java.lang.Object' .class, (∀ class0. class0 ∈ claset → initdone(class0, addclass(class, fis, st))) ↔ (∀ class0. class0 ≠ class ∧ class0 ∈ claset → initdone(class0, st)), mkfs(class, void_type, `initstate' .field) ' ∈ fis

User applied rule case distinction

And obtained the following new goals

Proof step 5:
∀ class0. class0 ∈ claset → initdone(class0, addclass(class, fis, st)), class ∈ claset ⊦ ∀ class0. class0 ≠ class ∧ class0 ∈ claset → initdone(class0, st), # claset = 0, claset = ∅, class = `java.lang.Object' .class, mkfs(class, void_type, `initstate' .field) ' ∈ fis
Proof step 9:
∀ class0. class0 ≠ class ∧ class0 ∈ claset → initdone(class0, st), class ∈ claset ⊦ ∀ class0. class0 ∈ claset → initdone(class0, addclass(class, fis, st)), # claset = 0, claset = ∅, class = `java.lang.Object' .class, mkfs(class, void_type, `initstate' .field) ' ∈ fis

Rule argument

[CASEDARG : pos: right 4, ()]

Additional information

[[CONCRETESIMPRULES : ()]]