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Proof step 7 from proof cyclic-put-nopathex (previous step)

validrefs(str, (r ' + refs1) + r1 ', st[r -- _type] .type, st[r0 -- sk, val]), path∃(str, r, r0, st[r0 -- sk, val]) ⊦ r0 = r, sk = _type, r ∈ refs1, dups(refs1), junkref(str, r, st), path∃(str, r, r0, st), validrefs(str, (r ' + refs1) + r1 ', st[r -- _type] .type, st), r0 ≠ r1 ∧ ¬ r0 ∈ refs1, r1 ≠ r ∧ ¬ r1 ∈ refs1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ ¬ path∃(str, r, r0, st) ∧ ¬ junkref(str, r, st) ∧ sk ≠ _type → ¬ path∃(str, r, r0, st[r0 -- sk, val])

Rule argument

[crewrite-arg: pathex-put-last , F , [val, sk, st, r0, r, str] → [val, sk, st, r0, r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, sk, st, r0, r, str)]]