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Theorem monle-boundedle-converges

⊦ bounded≤(f, r) ∧ mon≤(f) → converges(f)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas: converges-def, monle-converges-sup,
Used spec theorems:
- Used simplifier rules: