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Proof step 15 from proof nopathex-update (previous step)

path∃(str, r, r0, update(r0, fis, st[r0 -- sk, val])), junkref(str, r, st[r0 -- sk, val]) ⊦ _type = sk, sk ∈ fis, sk ∈ fis .keys, dups(fis .keys), path∃(str, r, r0, st), junkref(str, r, st), _type ∈ fis

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ ¬ path∃(str, r, r0, st) ∧ ¬ junkref(str, r, st) ∧ sk ≠ _type → ¬ junkref(str, r, st[r0 -- sk, val])

Rule argument

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

Additional information

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