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Theorem cont-rel-thm

⊦ pcont(lift(alp))(f) ∧ mon(⌜λ n. ⌜alf(n)⌝ ⌝ ) ∧ (∀ n. alp(alf(n))) ∧ lift(alp)(lim(⌜λ n. ⌜alf(n)⌝ ⌝ )) ∧ pfxclosed(alp) → lim(⌜λ n. f(⌜alf(n)⌝ )⌝ ) = f(lim(⌜λ n. ⌜alf(n)⌝ ⌝ ))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 11
Proof steps: 23
Used lemmas: lift-pred-inf, pfxclosed-def, pfxclosedl-def, lift-pred-fin, mon-relative-def, cont-relative-def, cont-relative-thm,
Used spec theorems:
- stream/prefix-def
Used simplifier rules: