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Theorem monle-converges-sup

mon≤(f), bounded≤(f, r) ⊦ converges(f, sup(λ r. ∃ n. r = f(n)))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: monge-converges-inf, monle-boundedle-converges, monle-limit-sup,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 36
Proof steps: 52
Used lemmas: monle-def, boundedle-def, convergesto-def,
Used spec theorems:
Used simplifier rules: