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Proof step 54 from proof pathex-put-cyclic (previous step)

st[r0 -- _type] .type = mkclasstype(class0), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), st[r -- _type] .type ≤ ty, validrefs(str, r ' + refs0 + r0 ', st[r -- _type] .type, st) ⊦ r = jvmref, r0 = jvmref, r = r0, r0 ∈ refs0, dups(refs0), r ∈ refs0, ∃ refs. dups(refs) ∧ refs .first = r0 ∧ validrefs (str, refs, (st[refs .first -- mkfs(class, ty, fieldvar) ', refval(r)][refs .first -- _type]) .type, st[refs .first -- mkfs(class, ty, fieldvar) ', refval(r)])

User applied rule exists right

And obtained the following new goals

Proof step 53:
st[r0 -- _type] .type = mkclasstype(class0), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), st[r -- _type] .type ≤ ty, validrefs(str, r ' + refs0 + r0 ', st[r -- _type] .type, st) ⊦ r = jvmref, r0 = jvmref, r = r0, r0 ∈ refs0, dups(refs0), r ∈ refs0, dups(r0 ' + r ' + refs0 + r0 ') ∧ (r0 ' + r ' + refs0 + r0 ') .first = r0 ∧ validrefs (str, r0 ' + r ' + refs0 + r0 ', (st[(r0 ' + r ' + refs0 + r0 ') .first -- mkfs(class, ty, fieldvar) ', refval(r)][(r0 ' + r ' + refs0 + r0 ') .first -- _type]) .type, st[(r0 ' + r ' + refs0 + r0 ') .first -- mkfs(class, ty, fieldvar) ', refval(r)]), ∃ refs. dups(refs) ∧ refs .first = r0 ∧ validrefs (str, refs, (st[refs .first -- mkfs(class, ty, fieldvar) ', refval(r)][refs .first -- _type]) .type, st[refs .first -- mkfs(class, ty, fieldvar) ', refval(r)])

Rule argument

[EXRARG : pos: right 7, [extquanttermlist: (r0 ' + r ' + refs0 + r0 ') abort:F , discard:F , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r0 ' + r ' + refs0 + r0 ')]]