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Proof step 37 from proof pathex-put-pathex-array-refval (previous step)

(st[r0 -- i ', refval(r2)][r0 -- i0 ']) = refval(r), st[r0 -- _type] .type = mkarraytype(ty), is_referencevalue(st[r0 -- i ', refval(r2)][r0 -- i0 ']), i0 < st[r0 -- _length] .intval, is_array(str, r0, st[r0 -- i ', refval(r2)]), is_array(str, r0, st), i < st[r0 -- _length] .intval, validref(str, r2, ty, st), 0 < st[r0 -- _length] .intval, 0 ≤ i, 0 ≤ i0, validrefs(str, r ' + refs, ty, st), r2 = jvmref → is_reftype(ty) ⊦ r0 = jvmref, r0 = (r ' + refs) .last, r0 = r, path∃(str, r0, (r ' + refs) .last, st), path∃(str, r2, (r ' + refs) .last, st), r0 ∈ refs, dups(refs), r ∈ refs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 36:
st[r0 -- _type] .type = mkarraytype(ty), (st[r0 -- i ', refval(r2)][r0 -- i0 ']) = refval(r), validrefs(str, r ' + refs, ty, st), 0 ≤ i0, 0 ≤ i, 0 < st[r0 -- _length] .intval, validref(str, r2, ty, st), i < st[r0 -- _length] .intval, is_array(str, r0, st), is_array(str, r0, st[r0 -- i ', refval(r2)]), i0 < st[r0 -- _length] .intval, r2 = jvmref → is_reftype(ty) ⊦ r0 = r, r0 = (r ' + refs) .last, r0 = jvmref, r ∈ refs, dups(refs), r0 ∈ refs, path∃(str, r2, (r ' + refs) .last, st), path∃(str, r0, (r ' + refs) .last, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , test-19, ⊦ is_referencevalue(refval(r))])]]