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Proof step 24 from proof init-put-rkvs-01 (previous step)

∀ class. ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ rkvs ⊦ (∀ class. tdname∃(str, class) → ( ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ rkvs ∨ (st[rkvs][jvmref -- mkfs(class, void_type, `initstate' .field) ']) ≠ initval(error)) ∧ ( ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ rkvs ∨ (st[rkvs][jvmref -- mkfs(class, void_type, `initstate' .field) ']) ≠ initval(undone)) ∧ (jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st[rkvs] ∨ ¬ _uninit ∈ st)) ↔ init(str, st), _uninit ∈ rkvs

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ init(str, st) ↔ (∀ class. tdname∃(str, class) → initdone(class, st))
Proof step 23:
∀ class. ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ rkvs ⊦ (∀ class. tdname∃(str, class) → ( ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ rkvs ∨ (st[rkvs][jvmref -- mkfs(class, void_type, `initstate' .field) ']) ≠ initval(error)) ∧ ( ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ rkvs ∨ (st[rkvs][jvmref -- mkfs(class, void_type, `initstate' .field) ']) ≠ initval(undone)) ∧ (jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st[rkvs] ∨ ¬ _uninit ∈ st)) ↔ (∀ class. tdname∃(str, class) → initdone(class, st)), _uninit ∈ rkvs

Rule argument

[crewrite-arg: init-existing, F, [st, str] → [st, str]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, str)]]