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Proof step 172 from proof pseq-sym-01 (previous step)

st[r -- i0 '] = refval(jvmref), st[r -- _type] = st1[r1 -- _type], st[r -- _length] .intval = st1[r1 -- _length] .intval, i0 < st1[r1 -- _length] .intval, is_arraytype(st1[r1 -- _type] .type), 0 ≤ i0, 0 < st1[r1 -- _length] .intval, is_array(str, r1, st1), is_array(str, r, st), ∀ st, r, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r1, st1) → ( true → ( ¬ cyclic(str0, r, st) ∧ ¬ cyclic(str0, r0, st0) ∧ ¬ junkref(str0, r, st) ∧ ¬ junkref(str0, r0, st0) → (ps=(r, st, r0, st0) → ps=(r0, st0, r, st)))) ⊦ st1[r1 -- i0 '] = refval(jvmref), r1 = jvmref, r = jvmref, is_referencevalue(st1[r1 -- i0 ']), cyclic(str, r, st), cyclic(str, r1, st1), junkref(str, r, st), junkref(str, r1, st1), is_reftype(st1[r1 -- _type] .type .type)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 171:
⊦ is_referencevalue(st[r -- i ']) ∧ ¬ is_reftype(st[r -- _type] .type .type) ∧ 0 ≤ i ∧ i < st[r -- _length] .intval → ¬ is_array(str, r, st)

Rule argument

[speclemmaarg: , is_referencevalue(st[r -- i ']) ∧ ¬ is_reftype(st[r -- _type] .type .type) ∧ 0 ≤ i ∧ i < st[r -- _length] .intval → ¬ is_array(str, r, st) ,[st, r, i, str] → [st, r, i0, str] ,F ,okfuns , ,is_array-noreftype ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)])], [EXTRATERMS : (st, r, i0, str)]]