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Theorem ac-no1

⊦ is_fskey(fv .1) ∧ fv .1 .fs .class ≠ class → addclass(class, fv ' + fis, st) = addclass(class, fis, st)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by: ac-bad, ac-bad-01, ac-bad-02, ac-bad-03, ac-del, ac-del-01, ac-del-02, ac-dups-02, ac-dups-03, ac-dups-04, ac-dups-05, ac-getbar, ac-in, ac-in-02, ac-in-03, ac-in-03-02, ac-in-06, ac-in-08, ac-in-09, ac-in-10, ac-in-11, ac-init, ac-init-01, ac-init-02, ac-isarray, ac-lookup, ac-lookup-02, ac-lookup-03, ac-lookup-04, ac-lookup-05, ac-lookup-06, ac-mode, ac-mode-01, ac-new, ac-out, ac-refin, ac-refs, ac-shift, ac-shift-02, ac-shift-03, ac-type, addclass-switch, addclass-switch-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 6
Used lemmas: addclass-no,
Used spec theorems:
- Used simplifier rules:
  - list/fieldinit-assoclista/a
  - fieldspec/elim
  - storekey/test-05
  - storekey/elim-03
  - pair/fieldinit/elim