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Theorem append-gr-to

⊦ # σ < ⌜n⌝ → σ + σ0 to n = σ.l + (σ0 to (n - # σ.l))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: size-inf, to-inf, append-inf, append-assoc, append-to-gr-01, size-fin,
Used spec theorems:
- Used simplifier rules: