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Theorem append-empty-01

⊦ σ0 + σ1 = [] ↔ σ0 = [] ∧ σ1 = []

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: cons-empty, empty-leq, leq-symm-2, stream-empty, toone-cons,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 9
Used lemmas: append-inf, fun-nonempty, append-fininf, empty, append-finfin, fin-empty, append-assoc, empty-append,
Used spec theorems:
- stream-basic/inj-02
Used simplifier rules:
- list/app-02-ant
- list/a