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Theorem leq-prefix

⊦ σ1 ⊑ σ2 → σ1 = σ2 ∨ (∃ n. ⌜n⌝ < # σ2 ∧ σ2 to n = σ1)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 9
Used lemmas: finlen-tolen, append-to-ls, size-empty-equiv, append-assoc, size-append, appendend-equal, prefix-def,
Used spec theorems:
- nat-inf/notinf-fin
Used simplifier rules: