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Theorem appinf-get-split

⊦ (⌜x⌝ + ⌜nf⌝ ).f(n) = (n < # x ⊃ x[n];nf(n - # x))

Type: A user defined theorem
Validity: The proof is valid.
Features: ls,
Comment:
Used by: appinf-one-get-succ, appinf-one-get-succ2, appinf-one-get-zero,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: append-fininf,
Used spec theorems:
- Used simplifier rules:
  - stream-basic/sel-rqui0-dotf