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Proof step 20 from proof unchNorec-isobj (previous step)

st[r -- _type] = typeval(mkclasstype(class)), st0[r -- _type] = typeval(mkclasstype(class)), r ∈ st, goodfieldsandtypes(r, instfields(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, goodfieldsandtypes(r, instfields(class), st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ goodfieldsandtypes(r, sks, st) ↔ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st))
Proof step 19:
st[r -- _type] = typeval(mkclasstype(class)), st0[r -- _type] = typeval(mkclasstype(class)), r ∈ st, goodfieldsandtypes(r, instfields(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, ∀ sk. sk ∈ instfields(class) → goodfieldandtype(r, sk, st0)

Rule argument

[x0lemmaarg: spec-name: okfuns instance-name: lemma-name: gfts-all antecedent: succedent: goodfieldsandtypes(r, sks, st) ↔ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st)) substlist: [st, sks, r] → [st0, instfields(class), r] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0, instfields(class), r)]]