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Proof step 23 from proof pathex-put-pathex-array-refval (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
st[r0 -- _type] .type = mkarraytype(ty), validrefs(str, r ' + refs, ty, st), 0 ≤ i, 0 < st[r0 -- _length] .intval, validref(str, r, ty, st), is_array(str, r0, st), is_array(str, r0, st[r0 -- i ', refval(r)]), i < st[r0 -- _length] .intval, r = jvmref → is_reftype(ty) ⊦ r0 = r, r0 = (r ' + refs) .last, r0 = jvmref, r ∈ refs, dups(refs), r0 ∈ refs, path∃(str, r, (r ' + refs) .last, st), path∃(str, r0, (r ' + refs) .last, st), (r ' + refs) .last ∈ refs

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]