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Proof step 10 from proof unchanged-put-nopathex (previous step)

path∃(str, r, r1, st) ⊦ sk = _type, junkref(str, r, st), path∃(str, r, r0, st), unchangedNorec(r1, st, st[r0 -- sk, val]), ¬ path∃(str, r1, r0, st) ∧ ¬ junkref(str, r1, st)

User applied rule case distinction

And obtained the following new goals

Proof step 6:
path∃(str, r, r1, st) ⊦ ¬ path∃(str, r1, r0, st), sk = _type, junkref(str, r, st), path∃(str, r, r0, st), unchangedNorec(r1, st, st[r0 -- sk, val])
Proof step 9:
path∃(str, r, r1, st) ⊦ ¬ junkref(str, r1, st), sk = _type, junkref(str, r, st), path∃(str, r, r0, st), unchangedNorec(r1, st, st[r0 -- sk, val])

Rule argument

[CASEDARG : pos: right 5, ()]

Additional information

[[CONCRETESIMPRULES : ()]]