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Proof step 18 from proof validrefs-not-in (previous step)

st[r0 -- i '] = refval(r2), 0 ≤ i, 0 < st[r0 -- _length] .intval, is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, i < st[r0 -- _length] .intval, is_referencevalue(st[r0 -- i ']), validrefs(str, r2 ' + refs, st[r0 -- _type] .type .type, st), ∀ r1, str0, ty0, st0. (r1 = r2 ∨ r1 ∈ refs) ∧ validrefs(str0, r2 ' + refs, ty0, st0) → r1 = jvmref ∨ is_valid_ref(r1, st0) ∧ type∃(str0, st0[r1 -- _type] .type) ⊦ r0 = jvmref, r = jvmref, is_valid_ref(r, st) ∧ type∃(str, st[r -- _type] .type), r ≠ r0 ∧ r ≠ r2 ∧ ¬ r ∈ refs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
st[r0 -- i '] = refval(r2), validrefs(str, r2 ' + refs, st[r0 -- _type] .type .type, st), i < st[r0 -- _length] .intval, st[r0 -- _type] .type ≤ ty, is_array(str, r0, st), 0 < st[r0 -- _length] .intval, 0 ≤ i, ∀ r1, str0, ty0, st0. (r1 = r2 ∨ r1 ∈ refs) ∧ validrefs(str0, r2 ' + refs, ty0, st0) → r1 = jvmref ∨ is_valid_ref(r1, st0) ∧ type∃(str0, st0[r1 -- _type] .type) ⊦ r = jvmref, r0 = jvmref, r ≠ r0 ∧ r ≠ r2 ∧ ¬ r ∈ refs, is_valid_ref(r, st) ∧ type∃(str, st[r -- _type] .type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]