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Proof step 12 from proof init-put-rkvs-01 (previous step)

tdname∃(str, class), ∀ class. ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ 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[rkvs] ∨ ¬ _uninit ∈ st ⊦ _uninit ∈ rkvs, (¬ 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)

User applied rule all left

And obtained the following new goals

Proof step 10:
⊦ ¬ rk ∈ rkvs → (st[rkvs][rk]) = st[rk]
Proof step 11:
⊦ rk ∈ st[rkvs] ↔ rk ∈ st ∨ rk ∈ rkvs

Rule argument

[EXRARG : pos: left 2, [extquanttermlist: (class)abort:F, discard:T, computed:T]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (class)]]