Add dataset card

README.md

@@ -1,29 +1,83 @@
 ---
-dataset_info:
-  features:
-  - name: fact
-    dtype: string
-  - name: type
-    dtype: string
-  - name: library
-    dtype: string
-  - name: imports
-    list: 'null'
-  - name: filename
-    dtype: string
-  - name: symbolic_name
-    dtype: string
-  - name: docstring
-    dtype: string
-  splits:
-  - name: train
-    num_bytes: 22644379
-    num_examples: 72962
-  download_size: 6933829
-  dataset_size: 22644379
-configs:
-- config_name: default
-  data_files:
-  - split: train
-    path: data/train-*
+license: cc0-1.0
+tags:
+  - theorem-proving
+  - formal-methods
+  - metamath
+  - logic
+  - set-theory
+  - mathematics
+task_categories:
+  - text-generation
+  - feature-extraction
+language:
+  - en
+size_categories:
+  - 10K<n<100K
 ---
+
+# Metamath
+
+A structured dataset of formally verified theorems and axioms from **Metamath**, one of the largest collections of rigorously verified mathematics in the world.
+
+## Source
+
+- **Repository:** https://github.com/metamath/set.mm
+- **Website:** https://us.metamath.org
+- **License:** CC0 1.0 (Public Domain)
+
+## Statistics
+
+| Property | Value |
+|----------|-------|
+| **Total Entries** | 72,962 |
+| **Theorems** | 69,394 |
+| **Axioms** | 3,568 |
+| **Docstring Coverage** | 95.6% |
+
+### Database Distribution
+
+| Database | Entries | Description |
+|----------|---------|-------------|
+| set.mm | 49,410 | Classical logic and ZFC set theory |
+| iset.mm | 15,953 | Intuitionistic logic and set theory |
+| nf.mm | 6,245 | New Foundations set theory |
+| ql.mm | 1,176 | Quantum logic |
+| hol.mm | 178 | Higher-order logic |
+
+## Schema
+
+| Column | Type | Description |
+|--------|------|-------------|
+| `fact` | string | Statement in form "label : assertion" |
+| `type` | string | "theorem" or "axiom" |
+| `library` | string | Source database (set, iset, nf, ql, hol) |
+| `imports` | list[string] | Empty (Metamath uses single-file structure) |
+| `filename` | string | Source .mm file |
+| `symbolic_name` | string | Theorem/axiom label |
+| `docstring` | string | Description with contributor attribution |
+
+## Metamath Syntax
+
+Metamath uses a minimal syntax:
+- `|-` indicates a provable statement
+- `/\` is conjunction (AND)
+- `\/` is disjunction (OR)
+- `->` is implication
+- `<->` is biconditional
+- `-.` is negation
+- `A.` is universal quantifier
+- `E.` is existential quantifier
+
+## Notable Theorems
+
+The set.mm database includes proofs of major results:
+- Fundamental Theorem of Calculus
+- Prime Number Theorem
+- Cauchy-Riemann equations
+- Hahn-Banach theorem
+- And thousands more...
+
+## Creator
+
+Charles Norton ([phanerozoic](https://huggingface.co/phanerozoic))