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Proof step 25 from proof unchNorec-isobj (previous step)

¬ ( ¬ ( st[r -- _type] = st0[r -- _type] ∧ (is_classtype(st[r -- _type] .type) → (∀ fs. fs ' ∈ instfields(st[r -- _type] .type .class) → st[r -- fs '] = st0[r -- fs '])) ∧ ( is_arraytype(st[r -- _type] .type) → st[r -- _length] = st0[r -- _length] ∧ (∀ i. 0 ≤ i ∧ i < st[r -- _length] .intval → st[r -- i '] = st0[r -- i ']))) ∧ r ≠ jvmref), st[r -- _type] = typeval(mkclasstype(class)), unchangedNorec(r, st, st0), r -- _type ∈ st, is_obj(r, class, st), r ∈ st ⊦ r = jvmref, is_obj(r, st0[r -- _type] .type .class, st0) ∧ is_classtype(st0[r -- _type] .type) ∧ is_typevalue(st0[r -- _type]) ∧ r -- _type ∈ st0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 24:
st[r -- _type] = typeval(mkclasstype(class)), st0[r -- _type] = typeval(mkclasstype(class)), r ∈ st, is_obj(r, class, st), r -- _type ∈ st, unchangedNorec(r, st, st0), r -- _type ∈ st0, r ∈ st0, ∀ fs. fs ' ∈ instfields(class) → st[r -- fs '] = st0[r -- fs '] ⊦ r = jvmref, is_obj(r, class, st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ noval ≠ typeval(ty)], [CSIMPSEQ : ⊦ ∅[rk] = noval], [CSIMPSEQ : ⊦ ¬ rk ∈ st → st[rk] = ∅[rk]], [CSIMPSEQ : ⊦ is_typevalue(typeval(ty))], [CSIMPSEQ : ⊦ mkclasstype(class) .class = class], [CSIMPSEQ : ⊦ is_classtype(mkclasstype(class))], [CSIMPSEQ : ⊦ ¬ is_arraytype(mkclasstype(class))], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]