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Theorem append-split-fin

⊦ # x = # y → (⌜x⌝ + σ = ⌜y⌝ + σ0 ↔ x = y ∧ σ = σ0)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: append-cancel-l, append-cut1, append-from-le-01, appinf-selfun-01, cons-append, constrrew, eq-stream-to-list-2-1, eq-stream-to-list-3-1, leq-append-both, one-inf, swap-to-from-app, toinfto-append-add,
Used by units in proved state: streamseq-mon-lim,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: size-fin, append-split,
Used spec theorems:
- Used simplifier rules: