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Theorem elim-hd-tl

⊦ σ ≠ [] → (a = hd(σ) ∧ σ0 = tl(σ) ↔ σ = a + σ0)

Type: A user defined theorem
Validity: The proof is valid.
Features: elim,
Comment:
Used by: from-to-exchange, to-unwind-begin,
Used by units in proved state: mon-lim-filter-count,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 10
Used lemmas: one-inf, fun-nonempty, tl-inf, hd-inf, eq-stream-to-list-2-2, tl-fin-lem, hd-fin-lem, append-finfin, fin-empty, tl-lem, append-assoc, hd-lem, cons-append,
Used spec theorems:
- Used simplifier rules: