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Proof step 20 from proof isobj-update-01 (previous step)

⊦ r = r0, r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ update(r0, fis, st) ∧ goodfieldsandtypes(r, instfields(class), update(r0, fis, st)) ↔ is_obj(r, class, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
⊦ r = r0, r ≠ jvmref ∧ r -- _type ∈ st ∧ st[r -- _type] = typeval(mkclasstype(class)) ∧ goodfieldsandtypes(r, instfields(class), update(r0, fis, st)) ↔ is_obj(r, class, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → (update(r0, fis, st)[r -- sk]) = st[r -- sk]], [CSIMPSEQ : ⊦ r ≠ r0 → ( r -- sk ∈ update(r0, fis, st) ↔ r -- sk ∈ st)], [CSIMPSEQ : ⊦ rk × val ∈ st ↔ rk ∈ st ∧ st[rk] = val])]]