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Theorem ac-mode-01

⊦ ¬ _mode .key ∈ fis → (addclass(class, fis, st)[_mode]) = st[_mode]

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 26
Used lemmas: ac-mode, addclass-yes, ac-no2, ac-no1, addclass-base,
Used spec theorems:
- Used simplifier rules:
  - storekey/test-05
  - storekey/elim-03
  - storekey/test-02
  - storekey/test
  - pair/fieldinit/sel-02
  - fieldspec/elim
  - assoclist/fieldinit/inone
  - pair/fieldinit/elim
  - storekey/test-01
  - list/fieldinit-assoclista/a
  - assoclist/fieldinit/in-append
  - list/fieldinit-assoclista/c
  - javastore/lookup-if
  - storekey/inj-03
  - fieldspec/inj-01
  - fieldname/inj
  - specialkeys/mode-02
  - specialkeys/mode-03
  - refkey/elim