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Theorem pathex-put-last

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

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: cyclic-put-nopathex, nopathex-update,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 14
Used lemmas: validrefs-put-last, pathex-one, pathex-def-nodups,
Used spec theorems:
- Used simplifier rules:
  - list-dup/references/rec
  - list-last/references/last-01
  - list/references/c-08
  - list/references/in-10
  - list/references/in-17
  - list/references/in-append
  - list-dup/references/f
  - list/references/e-02
  - list/references/app-03
  - list/references/in-01
  - list/references/in-11
  - list-last/references/lin-01
  - list/references/in-15
  - list/references/in-14
  - list/references/inapp-10
  - list-last/references/lapp-04
  - list/references/app-02-ant
  - list/references/e
  - list-last/references/last-elim
  - list-dup/references/dups-cons
  - list/references/a
  - list/references/e-01
  - list/references/c
  - list-data/references/elim-list
  - javastore/at-other-16
  - junkrefs/junkref-not-valid-01