query: Prove that $f$ is continuous-Proof-Verification.
positive_passages.docid: 153256
positive_passages.text: Compact topological space with closed graph implies continuity
negative_passages.docid: 40297
negative_passages.text: Proof of uniform limit of Continuous Functions
negative_passages.docid: 30965
negative_passages.text: $f$ is continuous on $X$ iff $f$ is continuous on every compact subset
negative_passages.docid: 80643
negative_passages.text: Show that f(x) defined on [0,infinity) R to is continuous at 0.
negative_passages.docid: 116732
negative_passages.text: Proving that a continuous map is surjective
negative_passages.docid: 151573
negative_passages.text: Show f is continuous on (0, ∞) iff f is continuous at 1 for a defined function.
negative_passages.docid: 85623
negative_passages.text: Proof of continuity implied by differentiability
negative_passages.docid: 97104
negative_passages.text: Proof that continuous function on $ [0, 2]$ has $f(x) = f(x-1)$ for some $ x$
negative_passages.docid: 12408
negative_passages.text: Prove that a function whose derivative is bounded is uniformly continuous.
negative_passages.docid: 54729
negative_passages.text: Prove that $f$ has a fixed point .
negative_passages.docid: 65901
negative_passages.text: Solution verification to complex analysis problem, prove $f$ is a polynomial.
negative_passages.docid: 13852
negative_passages.text: Assume $f$ is a continuous one-to-one function over an interval. Prove that $f$ is strictly monotone
negative_passages.docid: 77944
negative_passages.text: Injective functions with intermediate-value property are continuous. Better proof?
negative_passages.docid: 75614
negative_passages.text: Proving that $n|m\implies f_n|f_m$
negative_passages.docid: 131992
negative_passages.text: A problem on continuous functions
negative_passages.docid: 126212
negative_passages.text: Proving uniform continuity on an interval
negative_passages.docid: 147021
negative_passages.text: Proving a function is bounded