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Theorem toinf-empty

⊦ n∞ < # σ → (σ to∞ n∞ = [] ↔ n∞ = ⌜0⌝ )

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: to-empty, toinf-inf, to-zero, toinf-fin,
Used spec theorems:
- Used simplifier rules:
  - nat-inf-basic/disj
  - nat-inf/less-inf1