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Proof step 10 from proof union-init (previous step)

⊦ ( ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0 ∨ (st ∪ st0)[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(error)) ∧ ¬ initundone(class, st0) ↔ ¬ initerror(class, st0) ∧ ¬ initundone(class, st0), jvmref ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ ¬ rk ∈ st → (st ∪ st0)[rk] = st0[rk]
Proof step 9:
¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ⊦ ( ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st ∧ ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0 ∨ st0[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(error)) ∧ ¬ initundone(class, st0) ↔ ¬ initerror(class, st0) ∧ ¬ initundone(class, st0), jvmref ∈ st

Rule argument

[crewrite-arg: union-at-right-02 , F , [rk, st0, st] → [jvmref -- mkfs(class, void_type, `initstate' .field) ', st0, st] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st])], [EXTRATERMS : (jvmref -- mkfs(class, void_type, `initstate' .field) ', st0, st)]]