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Proof step 58 from proof maxpath-array (previous step)

∀ refs. refs ∈ validrefset(str, r, st) ↔ refs ∈ ∅, st[r -- i '] = refval(r0), is_array(str, r, st), i < st[r -- _length] .intval, 0 ≤ i, validrefs(str, r ' + refs0, st[r -- _type] .type, st), 0 < st[r -- _length] .intval ⊦ cyclic(str, r, st), junkref(str, r, st), has_reffield((r ' + refs0) .last, st), dups(refs0), r ∈ refs0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 57:
st[r -- i '] = refval(r0), is_array(str, r, st), i < st[r -- _length] .intval, 0 ≤ i, validrefs(str, r ' + refs0, st[r -- _type] .type, st), 0 < st[r -- _length] .intval, ∀ refs. ¬ refs ∈ validrefset(str, r, st) ⊦ cyclic(str, r, st), junkref(str, r, st), has_reffield((r ' + refs0) .last, st), dups(refs0), r ∈ refs0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ refs ∈ ∅])]]