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Proof step 32 from proof validrefs-maxlen (previous step)

st[r -- i '] = refval(r0), 0 ≤ i, 0 < st[r -- _length] .intval, is_array(str, r, st), # st .refs ≤ # refs, st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, r0 ' + refs, st[r -- _type] .type .type, st), ∀ str0, ty0, st0. validrefs(str0, r0 ' + refs, ty0, st0) → # refs ≤ # st0 .refs ⊦ r = jvmref, r = r0, dups(refs), r0 ∈ refs, r ∈ refs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
st[r -- i '] = refval(r0), validrefs(str, r0 ' + refs, st[r -- _type] .type .type, st), i < st[r -- _length] .intval, st[r -- _type] .type ≤ ty, # st .refs ≤ # refs, is_array(str, r, st), 0 < st[r -- _length] .intval, 0 ≤ i, ∀ str0, ty0, st0. validrefs(str0, r0 ' + refs, ty0, st0) → # refs ≤ # st0 .refs ⊦ r = r0, r = jvmref, r ∈ refs, r0 ∈ refs, dups(refs)

Rule argument

[emptyarg]

Additional information

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