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Proof step 18 from proof init-def (previous step)

sk .fs = mkfs(class0, ty, fieldvar), ∀ 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) ⊦ ¬ _uninit ∈ st ∧ ( r -- sk ∈ st ∧ r = jvmref ∧ is_fskey(sk) ∧ ty = void_type ∧ fieldvar = `initstate' .field → st[jvmref -- sk] ≠ initval(undone) ∧ st[jvmref -- sk] ≠ initval(error))

User applied rule cut formula

And obtained the following new goals

Proof step 12:
_uninit ∈ st, sk .fs = mkfs(class0, ty, fieldvar), ∀ 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) ⊦ ¬ _uninit ∈ st ∧ ( r -- sk ∈ st ∧ r = jvmref ∧ is_fskey(sk) ∧ ty = void_type ∧ fieldvar = `initstate' .field → st[jvmref -- sk] ≠ initval(undone) ∧ st[jvmref -- sk] ≠ initval(error))
Proof step 17:
sk .fs = mkfs(class0, ty, fieldvar), ∀ 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) ⊦ _uninit ∈ st, ¬ _uninit ∈ st ∧ ( r -- sk ∈ st ∧ r = jvmref ∧ is_fskey(sk) ∧ ty = void_type ∧ fieldvar = `initstate' .field → st[jvmref -- sk] ≠ initval(undone) ∧ st[jvmref -- sk] ≠ initval(error))

Rule argument

[fma-arg: _uninit ∈ st]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (_uninit ∈ st)]]