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Theorem valid-sar-twice-same

⊦ valid(sar, ar) ∧ n < # ar ∧ m < # ar → (sar[n] = sar[m] ↔ n = m)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp,
Comment:
Used by: valid-sar-twice-same1,
Used by units in proved state: lrs-ops,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: sar-elems-bagle-twice-same, sar-elems-bagle-size, valid,
Used spec theorems:
- Used simplifier rules:
  - nat-basic1/lf-01
  - nat-basic1/f