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Proof step 21 from proof maxpath-object (previous step)

refs0 = [], maxpath(str, r, st) = 1 + # refs0, st[r -- fs '] = refval(r0), maxpath(str, r, st) ≤ maxpath(str, r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, st), fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), # refs0 < maxpath(str, r0, st) ⊦ validrefset(str, r, st) = ∅, # validrefset(str, r, st) = 0, has_reffield((r ' + refs0) .last, st), r ∈ refs0, dups(refs0), junkref(str, r, st), cyclic(str, r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
st[r -- fs '] = refval(r0), maxpath(str, r, st) = 1, 1 ≤ maxpath(str, r0, st), validrefs(str, r ', st[r -- _type] .type, st), fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st) ⊦ validrefset(str, r, st) = ∅, # validrefset(str, r, st) = 0, maxpath(str, r0, st) = 0, junkref(str, r, st), cyclic(str, r, st), has_reffield(r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ dups([])], [CSIMPSEQ : ⊦ ¬ r ∈ []], [CSIMPSEQ : ⊦ r ' .last = r], [CSIMPSEQ : ⊦ 0 < n ↔ n ≠ 0], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ refs + [] = refs], [CSIMPSEQ : ⊦ # [] = 0])]]