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Proof step 4 from proof junkref-update (previous step)

junkref(str, r, update(r0, fis0, st)[r0 -- sk, val]), path∃(str, r, r0, update(r0, fis0, st)), ∀ str0, r1, r2, st0. junkref(str0, r1, update(r2, fis0, st0)) → path∃(str0, r1, r2, st0) ∨ junkref(str0, r1, st0) ⊦ _type = sk, path∃(str, r, r0, st), junkref(str, r, st), _type ∈ fis0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ junkref(str, r, st) ∧ ¬ _type ∈ fis ∧ ¬ path∃(str, r, r0, st) → ¬ path∃(str, r, r0, update(r0, fis, st))

Rule argument

[crewrite-arg: nopathex-update , F , [st, fis, r0, r, str] → [st, fis0, r0, r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, fis0, r0, r, str)]]