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Proof step 97 from proof validrefs-lastelem (previous step)

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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 96:
st[r0 -- i '] = refval(r1), is_array(r0, st), 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 -- _type] .type .type = void_type, is_reftype(st[r0 -- _type] .type .type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_reftype(ty0) → (ty ≤ ty0 ↔ ty = ty0)], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ i > j ↔ j < i])]]