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Theorem multi-mode

⊦ (addarraymultlist(r, ty, st, refs, ints, ints0, i)[_mode]) = st[_mode]

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: multi-mode-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 12
Proof steps: 29
Used lemmas: countrefs2-02, intssize-rec, addarraymultlist_zero, addarraymultlist_more_1, addarraymultlist_more_2, addarraymultlist_more_0, addarraymultlist_one_not_0, addarraymultlist_one_0,
Used spec theorems:
- Used simplifier rules:
  - nat-basic2/l
  - intnat/abs-succ-03
  - nat-basic2/z-01
  - int-basic2/zero-02
  - int-mult/commutativity
  - int-mult/associativity
  - int-mult/succ-rmerge
  - int-basic2/add-c
  - int-basic2/add-a
  - int-abs/leone
  - int-abs/numle-02
  - int-abs/elim-sub
  - int-abs/forward-le-01
  - specialkeys/mode-04
  - nat/lels
  - nat/lep-01
  - nat-basic2/one
  - nat-basic2/c
  - nat-basic2/a
  - intnat/n2i-add
  - list/intlista/len-02
  - list/intlista/len
  - list/intlista/a
  - list/intlista/e-01
  - list/intlista/c
  - list-data/intlista/elim-list-c
  - int-abs/forward-le-05
  - int-abs/sub-eq-01
  - list-data/intlista/size-01
  - int-basic1/two-ls
  - int-abs/ax-01
  - list-data/intlista/l
  - nat-basic1/one
  - nat/ax-02
  - int-abs/lels-03
  - int-abs/lels
  - int-abs/ax-02
  - addarray/mode-1dim
  - int-abs/lels-01
  - javastore/lookup-if
  - specialkeys/mode-05
  - specialkeys/diff-01