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Proof step 21 from proof init-put-rkvs-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
⊦ rk ∈ st[rkvs] ↔ rk ∈ st ∨ rk ∈ rkvs
Proof step 20:
tdname∃(str, class), ∀ class. tdname∃(str, class) → (¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∨ st[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(error)) ∧ (¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∨ st[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(undone)) ∧ (jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∨ ¬ _uninit ∈ st), ∀ class. ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ rkvs ⊦ _uninit ∈ rkvs, ( ¬ 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 ∨ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ rkvs ∨ ¬ _uninit ∈ st)

Rule argument

[emptyarg]

Additional information

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