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Proof step 8 from proof addobj-init-02 (previous step)

⊦ r = jvmref, (∀ class0. class∃(str, class0) ∨ interface∃(str, class0) → initdone(class0, st)) ↔ (∀ class. tdname∃(str, class) → initdone(class, st))

User applied rule case distinction

And obtained the following new goals

Proof step 5:
∀ class0. class∃(str, class0) ∨ interface∃(str, class0) → initdone(class0, st) ⊦ ∀ class. tdname∃(str, class) → initdone(class, st), r = jvmref
Proof step 7:
∀ class. tdname∃(str, class) → initdone(class, st) ⊦ ∀ class0. class∃(str, class0) ∨ interface∃(str, class0) → initdone(class0, st), r = jvmref

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]