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Proof step 35 from proof validrefs-del-junkrefs (previous step)

is_array(str, r0, st) ∧ st[r0 -- _type] .type ≤ ty, st[r0 -- i '] = refval(r), st[r0 -- _type] .type ≤ ty, is_array(str, r0, st), i < st[r0 -- _length] .intval, junkrefs(str, r ', st[r0 -- _type] .type .type, st -- r), 0 ≤ i, 0 < st[r0 -- _length] .intval ⊦ r0 = jvmref, r = r0, r ' = [] ∨ (∃ i. 0 ≤ i ∧ i < st[r0 -- _length] .intval ∧ is_referencevalue(st[r0 -- i ']) ∧ r ' .first = st[r0 -- i '] .refval ∧ validrefs(str, r ', st[r0 -- _type] .type .type, st)), junkref(str, r0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
st[r0 -- i '] = refval(r), st[r0 -- _type] .type ≤ ty, is_array(str, r0, st), i < st[r0 -- _length] .intval, junkrefs(str, r ', st[r0 -- _type] .type .type, st -- r), 0 ≤ i, 0 < st[r0 -- _length] .intval ⊦ r0 = jvmref, r = r0, junkref(str, r0, st), ∃ i0. ¬ i0 < 0 ∧ ¬ st[r0 -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r0 -- i0 ']) ∧ r = st[r0 -- i0 '] .refval ∧ validrefs(str, st[r0 -- i0 '] .refval ', st[r0 -- _type] .type .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ' .first = r], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ r ' ≠ []])]]