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Proof step 28 from proof nopathex-update (previous step)

path∃(str, r, r0, update(r0, fis, st)) ⊦ junkref(str, r, st), _type ∈ fis, path∃(str, r, r0, st)

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 1:
⊦ ∃ fis0. ¬ dups(fis0 .keys) ∧ update(r, fis, st) = update(r, fis0, st) ∧ fis0 ⊆ fis
Proof step 27:
∃ fis0. ¬ dups(fis0 .keys) ∧ update(r0, fis, st) = update(r0, fis0, st) ∧ fis0 ⊆ fis, path∃(str, r, r0, update(r0, fis, st)) ⊦ junkref(str, r, st), _type ∈ fis, path∃(str, r, r0, st)

Rule argument

[speclemmaarg: ,∃ fis0. ¬ dups(fis0 .keys) ∧ update(r, fis, st) = update(r, fis0, st) ∧ fis0 ⊆ fis ,[r, fis, st] → [r0, fis, st] ,F ,okfuns , ,update-ex-nodups ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r0, fis, st)]]