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Theorem elim-fromto

⊦ ¬ # σ < ⌜n⌝ → (σ0 = σ to n ∧ σ1 = σ from n ↔ σ = σ0 + σ1 ∧ # σ0 = ⌜n⌝ )

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: elim-fromto-fin, elim-fromto-inf, to-plus-from-simp,
Used by units in proved state: mon-lim-filter-count,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 16
Used lemmas: get-from-inf, get-infto, size-inf-to, append-fininf, neq-fin-inf-03, size-inf, inf-size-to, to-plus-from-inf-simp, from-inf, to-inf, append-inf, neq-fin-inf-01, append-from-size, append-to-size, length-to, append-assoc, to-plus-from-fin, eq-stream-to-list-2-1, size-fin, from-fin, to-fin,
Used spec theorems:
- list-del/extension
Used simplifier rules: