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Theorem to-unwind-end

⌜n⌝ < # σ ⊦ σ to n + 1 = (σ to n) + ⌜σ[n] '⌝

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: extensionality-to,
Used by units in proved state: mon-lim-filter-count, infinite-append,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 17
Used lemmas: to-succ-nf, to-inf-one, to-zero-nf, fun-nonempty, one-inf, size-inf, sel-inf, to-inf, to-unwind-end-fin, eq-stream-to-list-2-1, sel-fin, to-fin, size-succ, get-cons-succ, append-cancel-l, empty-append, get-cons-zero, append-empty, to-zero, cons-to-num, size-fin, size-append, append-assoc, cons-append, to-succ-cons, size-empty, expand-cons,
Used spec theorems:
- Used simplifier rules: