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Proof step 19 from proof isobj-addarray (previous step)

st[r1 -- _type] = typeval(mkclasstype(class)), r1 ∈ st, r1 ≠ jvmref ∧ (r1 -- _type) × typeval(mkclasstype(class)) ∈ addarray(r0, ty, vals, st) ∧ goodfieldsandtypes(r1, instfields(class), addarray(r0, ty, vals, st)), r1 -- _type ∈ st ⊦ r1 = jvmref, r1 = r0, is_obj(r1, class, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
⊦ r ≠ r0 → ((r -- sk) × val ∈ addarray(r0, ty, vals, st) ↔ (r -- sk) × val ∈ st)
Proof step 18:
st[r1 -- _type] = typeval(mkclasstype(class)), r1 ∈ st, goodfieldsandtypes(r1, instfields(class), addarray(r0, ty, vals, st)), r1 -- _type ∈ st ⊦ r1 = r0, r1 = jvmref, is_obj(r1, class, st)

Rule argument

[emptyarg]

Additional information

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