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Proof step 4 from proof isobj-union (previous step)

⊦ r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st ∪ st0 ∧ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st ∪ st0)) ↔ is_obj(r, class, sks, st0), r ∈ st .refs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ r ≠ jvmref ∧ r -- _type ∈ st0 ∧ st0[r -- _type] = typeval(mkclasstype(class)) ∧ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st0)) ↔ is_obj(r, class, sks, st0), r ∈ st .refs

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ r ∈ st .refs → ( goodfieldandtype (r, sk, st ∪ st0) ↔ goodfieldandtype(r, sk, st0))], [CSIMPSEQ : ⊦ ¬ r ∈ st .refs → (st ∪ st0)[r -- sk] = st0[r -- sk]], [CSIMPSEQ : ⊦ ¬ r ∈ st .refs → ( r -- sk ∈ st ∪ st0 ↔ r -- sk ∈ st0)], [CSIMPSEQ : ⊦ rk × val ∈ st ↔ rk ∈ st ∧ st[rk] = val])]]