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## Example API Payloads

### Create Universe
POST /universes
```json

{

  "name": "Group Theory",

  "description": "Universe for group theory",

  "universe_type": "group_theory",

  "axioms": ["Closure", "Associativity", "Identity", "Inverse"]

}

```

### Add Axiom
POST /axioms
```json

{

  "universe_id": 1,

  "statement": "Commutativity"

}

```

### Evolve Axiom
POST /axioms/evolve
Form data or JSON:
```json

{

  "axiom_id": 2,

  "new_statement": "Commutativity (strong)"

}

```

### Derive Theorem
POST /theorems/derive
```json

{

  "universe_id": 1,

  "axiom_ids": [1, 2],

  "statement": "Closure Commutativity"

}

```

### Create Proof
POST /proofs
```json

{

  "axiom_id": 1,

  "content": "Proof details here."

}

```