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Proof step 17 from proof validrefs-applast-array-null (previous step)

0 < st[r -- _length] .intval, 0 ≤ i, is_reftype(st[r -- _type] .type .type), i < st[r -- _length] .intval, is_array(r, st), type∃(str, st[r -- _type] .type), validrefs(str, refs + r ', ty, st) ⊦ st[r -- _type] .type .jtelemtype = void_type, st[r -- _type] .type .jtelemtype = abstract_type, is_referencevalue(st[r -- i ']), validrefs(str, refs + r ' + jvmref ', ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ is_array(r, st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ okarray(r, st[r -- _type] .type .type, st)
Proof step 16:
0 < st[r -- _length] .intval, 0 ≤ i, is_reftype(st[r -- _type] .type .type), i < st[r -- _length] .intval, r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ okarray(r, st[r -- _type] .type .type, st), type∃(str, st[r -- _type] .type), validrefs(str, refs + r ', ty, st) ⊦ st[r -- _type] .type .jtelemtype = void_type, st[r -- _type] .type .jtelemtype = abstract_type, is_referencevalue(st[r -- i ']), validrefs(str, refs + r ' + jvmref ', ty, st)

Rule argument

[speclemmaarg: , is_array(r, st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ okarray(r, st[r -- _type] .type .type, st) ,[st, r] → [st, r] ,F ,okfuns , ,is-any-array ]

Additional information

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