Update README: add training as primary use case

README.md

@@ -4,37 +4,39 @@ tags:
   - theorem-proving
   - formal-methods
   - coq
-  - standard-library
 task_categories:
   - text-generation
   - feature-extraction
 language:
   - en
 size_categories:
-  - 1K<n<10K
+  - n<1K
 ---
 
 # Coq-ExtLib
 
-Structured dataset from **coq-ext-lib** - an extended standard library for Coq providing data structures, monads, and programming utilities.
+Structured dataset from **coq-ext-lib** — Extended standard library with monads and data structures.
 
-## Source
+**776 declarations** extracted from Coq source files.
 
-- **Repository:** https://github.com/coq-community/coq-ext-lib
-- **License:** BSD-2-Clause
-- **Author:** Gregory M. Malecha
+## Applications
 
-## Statistics
+- Training language models on formal proofs
+- Fine-tuning theorem provers
+- Retrieval-augmented generation for proof assistants
+- Learning proof embeddings and representations
 
-- **Total entries:** 776
+## Source
+
+- **Repository:** https://github.com/coq-community/coq-ext-lib
 
 ## Schema
 
 | Column | Type | Description |
 |--------|------|-------------|
 | fact | string | Declaration body |
-| type | string | Lemma, Definition, etc. |
-| library | string | Component |
-| imports | list | Import statements |
+| type | string | Lemma, Definition, Theorem, etc. |
+| library | string | Source module |
+| imports | list | Required imports |
 | filename | string | Source file path |
 | symbolic_name | string | Identifier |