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Proof step 15 from proof unchanged-lookup-generic (previous step)

st[r0 -- _type] = st0[r0 -- _type], path∃(str, r, r0, st), path∃(str, r, r0, st0), is_valid_ref(r0, st0) ⊦ r0 = jvmref, st[r0 -- sk] = st0[r0 -- sk], is_classtype(st0[r0 -- _type] .type), is_arraytype(st0[r0 -- _type] .type)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: addfuns instance-name: lemma-name: is-valid-ref antecedent: succedent: is_valid_ref(r, st) ↔ is_obj(r, st) ∨ is_array(r, st) substlist: [st, r] → [st0, r0] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 3)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : addfuns, , isobj-classtype, ⊦ ¬ is_classtype (st[r -- _type] .type) → ¬ is_obj(r, st)], [CSIMPNAMEDSEQ : okfuns, , isarray-type, ⊦ ¬ is_arraytype (st[r -- _type] .type) → ¬ is_array(r, st)])], [EXTRATERMS : (st0, r0)]]