trureturingGitHub MATHEMATICAL ATLAS

Analytic / CONCEPT

Uniform CDFConvergence

Pointwise convergence to a continuous distribution function implies uniform convergence.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

monotone_cdf_pointwise_to_uniform

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Direct recorded relationships
Bernoulli Bridge VarianceBernoulli Bridge VarianceUniform CDFConvergenceUniform CDFConvergenceBernoulli Triangular LimitsBernoulli Triangular LimitsThe Gaussian limit for localized quantum Bernoulli noise walksThe Gaussian limit forlocalized quantum Bernoullinoise walks
Proof dependencyStructural affinityDocument link

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Analytic
Node ID
D5/S3/Analytic/Probability/UniformCDFConvergence
Repository path
D5/S3/Analytic/Probability/UniformCDFConvergence.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.