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Theorem appendend-equal

⊦ σ + σ0 = σ ↔ ¬ ¬(σ0 = [] ∨ # σ = ∞)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: append-toinf-ls, leq-refl, leq-symm-2, toinftoinf-append-add,
Used by units in proved state: mon-lim-filter-count, streamseq-mon-lim,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: size-fin, notfin-sizeinf, append-assoc, append-cancel-l-02,
Used spec theorems:
- Used simplifier rules:
  - nat-inf-basic/disj
  - stream-basic/stream-fin-forward