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Proof step 34 from proof fits-superset (previous step)

st[r -- i '] = refval(r0), r -- _length ∈ st, r -- _type ∈ st, r ∈ st, 0 ≤ i, 0 < st[r -- _length] .intval, i < st[r -- _length] .intval, is_arraytype(st[r -- _type] .type), fits(r0, sks0, st), st ⊆ st0, is_array(str, r, st), r -- i ' ∈ st, junkref(str, r0, st) ⊦ r = jvmref, junkref(str, r, st), fits(r0, sks0, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 29:
⊦ is_array(str, r, st) → ( junkref(str, r, st) ↔ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ st[r -- i '] .refval ≠ jvmref ∧ (¬ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∨ junkref(str, st[r -- i '] .refval, st))))
Proof step 33:
is_array(str, r, st), st[r -- i '] = refval(r0), r -- _length ∈ st, r -- _type ∈ st, r ∈ st, 0 ≤ i, 0 < st[r -- _length] .intval, i < st[r -- _length] .intval, is_arraytype(st[r -- _type] .type), fits(r0, sks0, st), st ⊆ st0, is_array(str, r, st), r -- i ' ∈ st, junkref(str, r0, st) ⊦ r = jvmref, ∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ st[r -- i '] .refval ≠ jvmref ∧ (¬ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∨ junkref(str, st[r -- i '] .refval, st)), fits(r0, sks0, st0)

Rule argument

[speclemmaarg: , is_array(str, r, st) → ( junkref(str, r, st) ↔ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ st[r -- i '] .refval ≠ jvmref ∧ ( ¬ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∨ junkref(str, st[r -- i '] .refval, st)))) ,[st, r, str] → [st, r, str] ,F ,junkrefs , ,junkref-array ]

Additional information

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