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Theorem cont-thm

⊦ cont(f) ∧ mon(⌜αf⌝ ) → lim(⌜λ n. f(αf(n))⌝ ) = f(lim(⌜αf⌝ ))

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: 53
Proof steps: 106
Used lemmas: fun-neq, pbd-def, mon-def, cont-def,
Used spec theorems:
Used simplifier rules: