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Theorem monle-limit-sup

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

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 6
Used lemmas: limit-unique, monle-boundedle-converges, limit-def, monle-converges-sup,
Used spec theorems:
- Used simplifier rules: