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Theorem in-1dim-07

⊦ r -- fs ' ∈ addarray(r0, val, i, st) ↔ r -- fs ' ∈ st

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: in-1dim-12, in-1dim-17, init-1dim-04, init-1dim-05,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 9
Used lemmas: addarray-base, addarray-rec, in-1dim-02,
Used spec theorems:
- Used simplifier rules:
  - intnat/rax-04
  - nat-basic2/s
  - intnat/labs
  - int-abs/absle
  - oelem/intlista/irreflexivity
  - nat-basic2/a
  - nat-basic2/c
  - int-abs/forward-le-01
  - int-basic2/add-c
  - int-basic2/add-a
  - int-abs/mone-06
  - int-abs/numls-02
  - int-abs/elim-sub
  - int-abs/forward-le-05
  - javastore/sk
  - int-abs/ax-02
  - int-abs/lels