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Proof step 17 from proof unchanged-lookup-generic (previous step)

st[r0 -- _type] = st0[r0 -- _type], path∃(str, r, r0, st), path∃(str, r, 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

Proof step 13:
⊦ ¬ is_valid_ref(r1, st) ∧ r1 ≠ jvmref → ¬ path∃(str, r, r1, st)
Proof step 16:
¬ (¬ is_valid_ref(r0, st0) ∧ r0 ≠ jvmref), st[r0 -- _type] = st0[r0 -- _type], path∃(str, r, r0, st), path∃(str, r, r0, st0) ⊦ r0 = jvmref, st[r0 -- sk] = st0[r0 -- sk], is_classtype(st0[r0 -- _type] .type), is_arraytype(st0[r0 -- _type] .type)

Rule argument

[x0lemmaarg: spec-name: cyclic instance-name: lemma-name: pathex-not-is-validref antecedent: succedent: ¬ is_valid_ref(r1, st) ∧ r1 ≠ jvmref → ¬ path∃(str, r, r1, st) substlist: [st, r1, r, str] → [st0, r0, r, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 2)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0, r0, r, str)]]