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Theorem extensionality-to

⊦ σ0 = σ1 ↔ # σ0 = # σ1 ∧ (∀ n. ¬ # σ0 < ⌜n⌝ → σ0 to n = σ1 to n)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 9
Used lemmas: size-to, fin-to, append-split, to-unwind-end, size-succ, extensionality,
Used spec theorems:
- Used simplifier rules: