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Theorem from-append-add

⊦ ¬ # σ < ⌜n⌝ ∧ ¬ # σ0 < ⌜n1⌝ → (σ to n) + σ0 from n1 + n = σ0 from n1

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 16
Proof steps: 33
Used lemmas: get-from-01, inf-not-to, neq-fin-inf-03, get-from, neq-fin-inf-01, get-append-ls, get-append-notls, get-from-inf, sel-inf, less-size-from, size-to, size-append, from-inf, size-inf-to, to-inf, size-inf, append-from-gt, length-to, fin-empty, append-assoc, from-appfin, to-fin, from-all, size-empty-equiv, sel-fin, length-from, from-fin, size-fin, fin-size-from, extensionality,
Used spec theorems:
- list-del/extension
Used simplifier rules: