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Proof step 98 from proof validrefs-lastelem (previous step)

st[r0 -- i '] = refval(r1), 0 ≤ i, 0 < st[r0 -- _length] .intval, is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, i < st[r0 -- _length] .intval, r1 = jvmref ∨ is_valid_ref(str, r1, st) ∧ st[r1 -- _type] .type ≤ st[r0 -- _type] .type .type ⊦ r0 = jvmref, has_reffield(r0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 83:
⊦ is_array(r, st) → (has_reffield(r, st) ↔ st[r -- _length] .intval > 0 ∧ (is_reftype(st[r -- _type] .type .type) ∨ st[r -- _type] .type .type = void_type))
Proof step 97:
is_array(r0, st), st[r0 -- i '] = refval(r1), 0 ≤ i, 0 < st[r0 -- _length] .intval, is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, i < st[r0 -- _length] .intval, r1 = jvmref ∨ is_valid_ref(str, r1, st) ∧ st[r1 -- _type] .type ≤ st[r0 -- _type] .type .type ⊦ r0 = jvmref, st[r0 -- _length] .intval > 0 ∧ (is_reftype(st[r0 -- _type] .type .type) ∨ st[r0 -- _type] .type .type = void_type)

Rule argument

[speclemmaarg: , is_array(r, st) → ( has_reffield(r, st) ↔ st[r -- _length] .intval > 0 ∧ ( is_reftype(st[r -- _type] .type .type) ∨ st[r -- _type] .type .type = void_type)) ,[st, r] → [st, r0] ,F ,addfuns , ,has_reffield-array ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_array(r, st) → ¬ is_array(str, r, st)])], [EXTRATERMS : (st, r0)]]