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Proof step 14 from proof unchNorec-isobj (previous step)

st0[r -- _type] = typeval(mkclasstype(class)), st[r -- _type] = typeval(mkclasstype(class)), r ∈ st0, r -- _type ∈ st0, unchangedNorec(r, st, st0), r -- _type ∈ st, r ∈ st, sk ∈ instfields(class), goodfieldandtype(r, sk, st), ∀ fs. fs ' ∈ instfields(class) → st[r -- fs '] = st0[r -- fs '] ⊦ r = jvmref, is_fskey(sk) ∧ r -- sk ∈ st0 ∧ okval(st0[r -- sk], sk .fs .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
st0[r -- _type] = typeval(mkclasstype(class)), st[r -- _type] = typeval(mkclasstype(class)), is_fskey(sk), r ∈ st0, r -- _type ∈ st0, unchangedNorec(r, st, st0), r -- _type ∈ st, r ∈ st, sk ∈ instfields(class), r -- sk ∈ st, okval(st[r -- sk], sk .fs .type), ∀ fs. fs ' ∈ instfields(class) → st[r -- fs '] = st0[r -- fs '] ⊦ r = jvmref, okval(st0[r -- sk], sk .fs .type) ∧ r -- sk ∈ st0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(sk) → ( goodfieldandtype(r, sk, st) ↔ r -- sk ∈ st ∧ okval (st[r -- sk], sk .fs .type))], [CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)], [CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ goodfieldandtype(r, sk, st)], [CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)])]]