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Proof step 20 from proof pathex-put-pathex-array-refval (previous step)

st[r0 -- _type] .type = mkarraytype(ty), 0 ≤ i, 0 < st[r0 -- _length] .intval, validref(str, r, ty, st), is_array(str, r0, st), is_array(str, r0, st[r0 -- i ', refval(r)]), i < st[r0 -- _length] .intval, validrefs(str, r ', ty, st) ⊦ r0 = jvmref, r0 = r, r = jvmref, is_valid_ref(str, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: validrefs-one antecedent: succedent: validrefs(str, r ', ty, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st) ∧ st[r -- _type] .type ≤ ty substlist: [st, ty, r, str] → [st, ty, r, str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 7)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, r, str)]]