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Theorem from-append-tofrom

⊦ ¬ # σ < ⌜n + n1⌝ → (σ to n) + ((σ from n) to n1) = σ to n + n1

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: from-append-toinffrom,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 14
Used lemmas: get-from, get-append-notls, get-append-ls, get-to, size-inf, from-inf, length-from, size-fin, from-fin, fin-size-from, append-assoc, size-to, size-append, extensionality,
Used spec theorems:
- Used simplifier rules: