# DCT, Dominated Convergence Theorem　`thm.dct`
English entry · root `../`
[in graph](../#n=thm.dct)　·　[Chinese page (authoritative)](./thm.dct.md)

> English: **name only** · auto-derived from the source data; the Chinese page is authoritative.

layer 20 · theorem · cluster 积分 (`analysis.integral`) · Analysis
names: `dominated convergence` (short) · `DCT, Dominated Convergence Theorem` (full)

## Statement and proof
Chinese only — see the Chinese page `nodes/thm.dct.md` and `proofs/`.

## Elsewhere
Wikipedia: https://en.wikipedia.org/wiki/Dominated_convergence_theorem · Mathlib: https://leanprover-community.github.io/mathlib4_docs/Mathlib/MeasureTheory/Integral/DominatedConvergence.html


Cite: `thm.dct` (content v0.9.0) · terms: [LICENSE.txt](../LICENSE.txt)