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Proof step 11 from proof unchanged-lookup-generic (previous step)

st[r0 -- _type] = st0[r0 -- _type], is_classtype(st0[r0 -- _type] .type), path∃(str, r, r0, st), path∃(str, r, r0, st0), sk ∈ instfields(st0[r0 -- _type] .type .class), ∀ fs. fs ' ∈ instfields(st0[r0 -- _type] .type .class) → st[r0 -- fs '] = st0[r0 -- fs '] ⊦ r0 = jvmref, st[r0 -- sk] = st0[r0 -- sk]

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
st0[r0 -- _type] .type = mkclasstype(class), st[r0 -- _type] = st0[r0 -- _type], is_classtype(st0[r0 -- _type] .type), path∃(str, r, r0, st), path∃(str, r, r0, st0), sk ∈ instfields(class), ∀ fs. fs ' ∈ instfields(class) → st[r0 -- fs '] = st0[r0 -- fs '] ⊦ r0 = jvmref, st[r0 -- sk] = st0[r0 -- sk]

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] → [st0[r0 -- _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 : (st0[r0 -- _type] .type, class)]]