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Proof step 64 from proof validrefs-put-array-badindex (previous step)

i < 0, is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ ty, validrefs(str, r0 ' + refs0, ty, st), ∀ i0, str0, ty0, st0, r1, val0. ¬ 0 ≤ i0 → (validrefs(str0, refs0, ty0, st0[r1 -- i0 ', val0]) ↔ validrefs(str0, refs0, ty0, st0)) ⊦ r0 = jvmref, is_valid_ref(str, r0, st[r -- i ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: addfuns instance-name: lemma-name: isvalidref-put-array-badindex antecedent: succedent: i < 0 → ( is_valid_ref(str, r0, st[r -- i ', val]) ↔ is_valid_ref(str, r0, st)) substlist: [val, i, r, st, r0, str] → [val, i, r, st, r0, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, i, r, st, r0, str)]]