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Proof step 20 from proof cyclic-put-badclassfield (previous step)

is_classtype(st[r0 -- _type] .type), validrefs(str, (r2 ' + refs1) + r1 ', st[r2 -- _type] .type, st) ⊦ fs ' = _type, junkref(str, r2, st), fs ' ∈ instfields(st[r0 -- _type] .type .class), dups(refs1), r2 ∈ refs1, r1 ≠ r2 ∧ ¬ r1 ∈ refs1, ∃ refs, r. ¬ dups(refs) ∧ r ∈ refs ∧ refs .first = r2 ∧ validrefs(str, refs + r ', st[refs .first -- _type] .type, st[r0 -- fs ', val])

User applied rule exists right

And obtained the following new goals

Proof step 19:
is_classtype(st[r0 -- _type] .type), validrefs(str, (r2 ' + refs1) + r1 ', st[r2 -- _type] .type, st) ⊦ fs ' = _type, junkref(str, r2, st), fs ' ∈ instfields(st[r0 -- _type] .type .class), dups(refs1), r2 ∈ refs1, r1 ≠ r2 ∧ ¬ r1 ∈ refs1, ¬ dups(r2 ' + refs1) ∧ r1 ∈ r2 ' + refs1 ∧ (r2 ' + refs1) .first = r2 ∧ validrefs(str, (r2 ' + refs1) + r1 ', st[(r2 ' + refs1) .first -- _type] .type, st[r0 -- fs ', val])

Rule argument

[EXRARG : pos: right 7, [extquanttermlist: (r2 ' + refs1, r1) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r2 ' + refs1, r1)]]