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Proof step 60 from proof maxpath-array (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 59:
validrefset(str, r, st) = ∅, 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

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ dups(r ' + refs) ↔ dups(refs) ∨ r ∈ refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]