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Theorem swap-to-from-app

⊦ m ≤ n ∧ ¬ # σ < ⌜n⌝ → (σ to n) + σ0 from m = ((σ from m) to (n - m)) + σ0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 17
Proof steps: 44
Used lemmas: neq-fin-inf-01, append-empty, from-inf, notfin-sizeinf, finp-append-01, size-inf, sel-inf, get-to, size-inf-to, to-inf, length-from, length-to, sel-fin, size-fin, from-fin, to-fin, fin-to, fin-size-from, less-size-from, size-empty, ton-fromn, size-empty-equiv, get-append-notls, get-append-ls, size-to, get-from, append-assoc, size-append, extensionality, swap-from-to,
Used spec theorems:
- Used simplifier rules: