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Theorem from-to-exchange

⊦ ¬ # σ < ⌜m⌝ + ⌜n⌝ → σ.take(m + n).drop(m) = σ.drop(m).take(n)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: from-infto-exchange, swap-from-to,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: append-assoc, size-fin, size-append, cons-append, cons-from-addnum, cons-to-addnum, size-empty, elim-hd-tl, from-zero,
Used spec theorems:
- Used simplifier rules: