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Proof step 6 from proof addobj-initerror (previous step)

⊦ r = jvmref, (jvmref -- mkfs(class0, void_type, `initstate' .field) ') × initval(error) ∈ addobj(r, class, sks, st) ↔ initerror(class0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ r ≠ r0 → (r -- sk ∈ addobj(r0, class, sks, st) ↔ r -- sk ∈ st)
Proof step 3:
⊦ r ≠ r0 → (addobj(r0, class, sks, st)[r -- sk]) = st[r -- sk]
Proof step 5:
⊦ r = jvmref, jvmref -- mkfs(class0, void_type, `initstate' .field) ' ∈ st ∧ st[jvmref -- mkfs(class0, void_type, `initstate' .field) '] = initval(error) ↔ initerror(class0, st)

Rule argument

[emptyarg]

Additional information

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