DefinitionDefinition: Literature-sourcedProof: Not applicableSession-authored (Fable 5 assisted)judge pass (deepseek-v4-pro + gpt-5.6-terra)audited 2026-08-13

How statement and proof provenance work

The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.

Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.

These labels describe origin, not correctness: citations and verification chips remain separate evidence.

The indicator random variable of an event

Definition

For an event $A$ in a finite probability space, its indicator random variable is $1_{A} (ω) : = {\begin{cases} 1, & ω \in A, \\ 0, & ω \notin A . \end{cases}$

Depends on

Real random variables on finite probability spaces and their finite distributions

Used by

Dependency tree · next 3 levels

Direct dependencies and their dependencies through the next three levels: 22 results over 8 levels. An arrow runs from a result to what uses it, and this result sits at the bottom with a heavier outline. Click the chart to enlarge it.

Sources

J. Matousek and J. Vondrak, The Probabilistic Method, Definition 3.1.2 (standard reference, not scraped)
M. Bucic, Probabilistic Method, Section 2.1 (standard reference, not scraped)