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Theorem id-idx-write-left

⊦ id-idx(ar1[m, ar1[m].idx:= m0], ar0) ↔ id-idx(ar1, ar0)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: id-idx-upd,
Used by units in proved state: bin-min-heap-prepost,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 16
Used lemmas: id-idx,
Used spec theorems:
- Used simplifier rules:
  - array/index-array-base/Size-put
  - nat-basic/f
  - elem-index/elim
  - elem-index/sel-01
  - array/index-array-base/Put-other
  - elem-index/inj
  - array/index-array-base/Put-same
  - nat-basic/lf-01
  - elem-index/upd-02