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Proof step 63 from proof maxpath-object (previous step)

validrefset(str, r0, st) ≠ ∅, st[r -- fs '] = refval(r0), maxpath(str, r, st) = 2 + # refs, maxpath(str, r, st) ≤ maxpath(str, r0, st), validrefs(str, r ' + refs + r1 ', st[r -- _type] .type, st), fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), # refs + 1 < maxpath(str, r0, st) ⊦ validrefset(str, r, st) = ∅, # validrefset(str, r, st) = 0, r = r1, junkref(str, r, st), cyclic(str, r, st), has_reffield(r1, st), r ∈ refs, r1 ∈ refs, dups(refs)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 62:
maxpath(str, r, st) = 2 + # refs, st[r -- fs '] = refval(r0), # refs + 1 < maxpath(str, r0, st), is_obj(str, r, st), fs ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, r ' + refs + r1 ', st[r -- _type] .type, st), maxpath(str, r, st) ≤ maxpath(str, r0, st) ⊦ # validrefset(str, r0, st) = 0, validrefset(str, r0, st) = ∅, r = r1, # validrefset(str, r, st) = 0, validrefset(str, r, st) = ∅, dups(refs), r1 ∈ refs, r ∈ refs, has_reffield(r1, st), cyclic(str, r, st), junkref(str, r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ # refsset ≠ 0 → refsset ≠ ∅], [CSIMPFORWARD : ⊦ refsset ≠ ∅ → # refsset ≠ 0])]]