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Theorem firstn-app-02

⊦ m ≤ # x + # y ∧ # x ≤ m → firstn(m, x + y) = x + firstn(m - # x, y)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: firstn-app,
Used spec theorems:
- Used simplifier rules:
  - nat/lep
  - nat/let
  - list/a
  - nat-basic2/a
  - nat-basic2/c
  - list/app-01
  - nat/elim-sub