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Proof step 13 from proof unchNorec-transitivity (previous step)

st[r -- _type] = st1[r -- _type], st0[r -- _type] = st1[r -- _type], fs ' ∈ instfields(st1[r -- _type] .type .class), is_classtype(st1[r -- _type] .type), unchangedNorec(r, st, st0), unchangedNorec(r, st0, st1), ∀ fs. fs ' ∈ instfields(st1[r -- _type] .type .class) → st[r -- fs '] = st0[r -- fs '], ∀ fs. fs ' ∈ instfields(st1[r -- _type] .type .class) → st0[r -- fs '] = st1[r -- fs '] ⊦ st[r -- fs '] = st1[r -- fs '], r = jvmref

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
st1[r -- _type] .type = mkclasstype(class), st[r -- _type] = st1[r -- _type], st0[r -- _type] = st1[r -- _type], fs ' ∈ instfields(class), is_classtype(st1[r -- _type] .type), unchangedNorec(r, st, st0), unchangedNorec(r, st0, st1), ∀ fs. fs ' ∈ instfields(class) → st[r -- fs '] = st0[r -- fs '], ∀ fs. fs ' ∈ instfields(class) → st0[r -- fs '] = st1[r -- fs '] ⊦ st[r -- fs '] = st1[r -- fs '], r = jvmref

Rule argument

[x0lemmaarg: spec-name: javatype instance-name: lemma-name: elim-02 antecedent: succedent: is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) substlist: [ty, class] → [st1[r -- _type] .type, class] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (st1[r -- _type] .type, class)]]