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Proof step 10 from proof isobj-del-03 (previous step)

⊦ r = r0, r0 ≠ jvmref ∧ r0 -- _type ∈ st -- r ∧ is_typevalue((st -- r)[r0 -- _type]) ∧ is_classtype((st -- r)[r0 -- _type] .type) ∧ is_obj(r0, (st -- r)[r0 -- _type] .type .class, st -- r) ↔ is_obj(r0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ r ≠ r0 → (is_obj(r, class, st -- r0) ↔ is_obj(r, class, st))
Proof step 3:
⊦ ¬ is_obj(r, st) → ¬ is_obj(r, class, st)
Proof step 4:
⊦ ¬ is_obj(jvmref, st)
Proof step 5:
⊦ ¬ r -- _type ∈ st → ¬ is_obj(r, st)
Proof step 6:
⊦ ¬ is_typevalue(st[r -- _type]) → ¬ is_obj(r, st)
Proof step 7:
⊦ ¬ is_classtype(st[r -- _type] .type) → ¬ is_obj(r, st)
Proof step 9:
is_obj(r0, st), is_classtype(st[r0 -- _type] .type), is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st, r0 ∈ st ⊦ r = r0, r0 = jvmref, is_obj(r0, st[r0 -- _type] .type .class, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ r ≠ r0 → (st -- r)[r0 -- sk0] = st[r0 -- sk0]], [CSIMPSEQ : ⊦ r -- sk ∈ st -- r0 ↔ r ≠ r0 ∧ r -- sk ∈ st])]]