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Theorem append-split

⊦ finp(σ) ∧ # σ = # σ1 → (σ + σ0 = σ1 + σ2 ↔ σ = σ1 ∧ σ0 = σ2)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: extensionality-to,
Used by units in proved state: mon-lim-filter-count, infinite-append,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 13
Proof steps: 21
Used lemmas: size-inf, append-inf, cons-eq, append-finfin, empty-append, empty, neq-fin-inf-01, neq-fin-inf-02, append-assoc, eq-stream-to-list-2-2, size-fin,
Used spec theorems:
- list/c-06
Used simplifier rules: