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Proof step 11 from proof init-1dim-04 (previous step)

⊦ (jvmref -- mkfs(class1, void_type, `initstate' .field) ') × initval(undone) ∈ addarray(r, val, i, st) ∨ ¬ jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ addarray(r, val, i, st) ∧ _uninit ∈ addarray(r, val, i, st) ↔ initundone(class1, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ r -- fs ' ∈ addarray(r0, val, i, st) ↔ r -- fs ' ∈ st
Proof step 3:
⊦ (addarray(r0, val, i, st)[r -- fs ']) = st[r -- fs ']
Proof step 10:
⊦ jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st ∧ st[jvmref -- mkfs(class1, void_type, `initstate' .field) '] = initval(undone) ∨ ¬ jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st ∧ _uninit ∈ addarray(r, val, i, st) ↔ initundone(class1, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ rk × val ∈ st ↔ rk ∈ st ∧ st[rk] = val])]]