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Theorem appinf-to-ge

⊦ # x ≤ n → (⌜x⌝ + ⌜nf⌝ ).f to n = x + (nf to (n - # x))

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: appinf-to-ge-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas: to-empty-inf, fin-finlen-tolen, appinf-to-split,
Used spec theorems:
- Used simplifier rules:
  - nat/anti
  - list/app-04
  - nat/zero-02
  - list/a