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Theorem Comp-get-01

⊦ getarray(r1, i1, j, st) ≠ getarray(r2, i2, j, st) → ¬ arraycomp(r1, i1, r2, i2, j, st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: Comp-get-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 17
Used lemmas: getArray-one, getArray-zero, getArray-rec, arrayComp,
Used spec theorems:
- Used simplifier rules:
  - list/javavalues/a
  - list/javavalues/app-06
  - int-basic1/ls-01
  - int-abs/lels-04
  - int-abs/forward-le-01
  - intnat/abs-succ-03
  - nat-basic2/s
  - intnat/labs
  - int-abs/abs-16
  - oelem/intlista/irreflexivity
  - nat-basic2/a
  - nat-basic2/c
  - int-abs/lels-03
  - int-abs/succ-01
  - int-basic2/zero-02
  - int-abs/numls-02
  - int-abs/numsub
  - int-abs/elim-sub
  - int-basic1/forward-pos
  - list/javavalues/Last
  - int-basic2/ax-04
  - int-basic2/add-a
  - int-basic2/add-c
  - int-abs/leone
  - list/javavalues/c-04
  - int-abs/forward-le-05
  - int-abs/bet
  - int-abs/lels
  - int-abs/lels-01