theorem2sorry

Strip proofs from theorems, replacing them with sorry.

Try this example in the web UI

Input Parameters

content · str · required · Lean source code

The Lean source code to be processed by this tool.

names · list[str] · Theorem names to process

Optional list of theorem names to process. If not specified, all theorems are processed. Names not found in the code are silently ignored.

indices · list[str] · Theorem indices to process

Optional list of theorem indices to process (0-based). Supports negative indices: -1 is the last theorem, -2 is second-to-last, etc. If not specified, all theorems are processed.

ignore_imports · bool · default: False · Ignore import mismatches

Controls import statement handling:

• false (default): Validate that imports match the environment. Returns an error if they don't.
• true: Ignore the imports in content and use the environment's default imports instead. See the troubleshooting page for more details.

environment · str · required · Lean environment or version

The Lean environment to use for evaluation. Each environment includes a specific Lean version and pre-built dependencies (typically Mathlib).

Available environments: lean-4.28.0, lean-4.27.0, lean-4.26.0, etc.

timeout_seconds · float · default: 120 · Max execution time in seconds

Maximum execution time in seconds. Requests exceeding this limit return a timeout error. Note that end-to-end request latency may exceed this timeout due to queue time and other overhead. Additionally, all non-admin requests are subject to an absolute maximum timeout of 300 seconds (5 minutes).

Output Fields

lean_messages · dict · Messages from Lean compiler

Messages from the Lean compiler with errors, warnings, and infos lists. Errors here indicate invalid Lean code (syntax errors, type errors, etc.).

tool_messages · dict · Messages from theorem2sorry tool

Messages from the theorem2sorry tool with errors, warnings, and infos lists. Errors here indicate tool-specific issues (not Lean compilation errors).

content · string · Lean code with proof bodies replaced by sorry

Useful for creating problem templates from solutions.

timings · dict · Execution timing breakdown

Timing information in milliseconds for various stages of processing.

Python API

# Convert all theorems
result = await axle.theorem2sorry(content=lean_code, environment="lean-4.28.0")

# Convert specific theorems by name
result = await axle.theorem2sorry(
    content=lean_code,
    environment="lean-4.28.0",
    names=["foo"],
)

# Convert by index (supports negative indices)
result = await axle.theorem2sorry(
    content=lean_code,
    environment="lean-4.28.0",
    indices=[0, -1],  # first and last
)

CLI

Usage: axle theorem2sorry CONTENT [OPTIONS]

# Convert all theorems to sorry
axle theorem2sorry solution.lean -o problem.lean --environment lean-4.28.0
# Convert specific theorems by name
axle theorem2sorry solution.lean --names main_theorem,helper --environment lean-4.28.0
# Pipeline usage
cat solution.lean | axle theorem2sorry - --names main_theorem --environment lean-4.28.0 > problem.lean

HTTP API

# Convert specific theorems by name
curl -s -X POST https://axle.axiommath.ai/api/v1/theorem2sorry \
    -d '{"content": "import Mathlib\ntheorem left_as_exercise : 1 = 1 := rfl\ntheorem the_tricky_one : 2 = 2 := rfl", "environment": "lean-4.28.0", "names": ["left_as_exercise"]}' | jq

# Convert all theorems
curl -s -X POST https://axle.axiommath.ai/api/v1/theorem2sorry \
    -d '{"content": "import Mathlib\ntheorem left_as_exercise : 1 = 1 := rfl\ntheorem the_tricky_one : 2 = 2 := rfl", "environment": "lean-4.28.0"}' | jq

Example Response

{
  "lean_messages": {
    "errors": [],
    "warnings": [],
    "infos": []
  },
  "tool_messages": {
    "errors": [],
    "warnings": [],
    "infos": []
  },
  "content": "import Mathlib\n\ntheorem left_as_exercise : 1 = 1 := sorry\n\ntheorem the_tricky_one : 2 = 2 := rfl",
  "timings": {
    "total_ms": 97,
    "parse_ms": 92
  }
}