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Theorem cons-eq

⊦ ⌜a '⌝ + σ = ⌜a0 '⌝ + σ0 ↔ a = a0 ∧ σ = σ0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 11
Used lemmas: neq-fin-inf-03, append-fininf, neq-fin-inf-01, neq-fin-inf-02, append-assoc, eq-stream-to-list-2-2,
Used spec theorems:
- stream-basic/inj-01
Used simplifier rules: