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Theorem prefix-appendbothfin-listprefix

⊦ ⌜x⌝ + ⌜y⌝ ⊑ ⌜z⌝ ↔ x + y ⊑ z

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: append-prefix-fin-is-fin,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas: neq-fin-inf-01, eq-stream-to-list-3-1, append-assoc, append-split-fin, append-finfin, prefix-def,
Used spec theorems:
- list-last/prefix
Used simplifier rules:
- list/a
- list/len-01