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Iambackup/Leanstral-1.5-119B-A6B
Leanstral-1.5-119B-A6B is a machine learning model from Iambackup. Use it for the machine learning task on the model card, and read the license before you ship it in a product. It is set up for vllm. The card lists the license as apache-2.0.
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From the Hugging Face model README

Leanstral 1.5 is an open-source code agent model designed for Lean 4, a proof assistant capable of expressing complex mathematical objects such as perfectoid spaces and software specifications like properties of Rust fragments.
Built as part of the Mistral Small 4 family, it combines multimodal capabilities and an efficient architecture, making it both performant and cost-effective compared to existing closed-source alternatives.
[!Note] This is an updated model of our previously released Leanstral model.
Leanstral incorporates the following architectural choices:
'none' → Do not use reasoning'high' → Use reasoning (recommended for complex prompts).Installing Mistral Vibe and Leanstral
vibe --setup from the terminal.vibe enter:
/leanstall (lean + [in]stall)exit (to leave vibe)Using Leanstral
vibe --agent lean in the terminal (ensure Leanstral displays at the top).
vibe inside vs code terminal so you can see both vibe and your code.vibe inside your Lean project directory.vibe --agent lean --yolo.Using Leanstral with the lean-lsp-mcp
We recommend trying Leanstral with the lean-lsp-mcp, a standard tool for AI agents to interact with Lean. The lean-lsp-mcp README has instructions for setting up the MCP with Mistral Vibe.
If instead of pinging the Mistral API, you want to use your local vLLM server, you can do the following:
Usage - vllmlean.toml in ~/.vibe/agents:mkdir ~/.vibe/agents/ && touch ~/.vibe/agents/lean.toml
And then copy-paste the following config into ~/.vibe/agents/lean.toml
display_name = "Lean (local vLLM)"
description = "Lean 4 mode using local vLLM"
safety = "neutral"
system_prompt_id = "lean"
active_model = "leanstral"
[[providers]]
name = "vllm"
api_base = "http://<your-host-url>:8000/v1"
api_key_env_var = ""
backend = "generic"
reasoning_field_name = "reasoning_content"
[[models]]
name = "mistralai/Leanstral-1.5-119B-A6B"
provider = "vllm"
alias = "leanstral"
thinking = "high"
temperature = 1.0
auto_compact_threshold = 168000
[tools.bash]
default_timeout = 1200
Note: Make sure to overwrite <your-host-url> with your server's url.
Then restart vibe and "tab-shift" to "lean" mode.
Give it a try on some "lean" code such as, e.g.: PrimeNumberTheoremAnd
The model can also be deployed with vLLM, we advise everyone to use the Mistral AI API if the model is subpar with local serving:
vllm (recommended): See here.Let's use this model with the vLLM library to implement production-ready inference pipelines.
Make sure to install vllm >= 0.24.0:
uv pip install -U vllm --torch-backend=auto
Doing so should automatically install mistral_common >= 1.11.5.
To check:
python -c "import mistral_common; print(mistral_common.__version__)"
You can also make use of a ready-to-go docker image or on the docker hub.
We recommend that you use Leanstral in a server/client setting.
vllm serve mistralai/Leanstral-1.5-119B-A6B \
--max-model-len 200000 \
--tensor-parallel-size 4 \
--attention-backend FLASH_ATTN_MLA \
--tool-call-parser mistral \
--enable-auto-tool-choice \
--reasoning-parser mistral
from openai import OpenAI
from huggingface_hub import hf_hub_download
# Modify OpenAI's API key and API base to use vLLM's API server.
openai_api_key = "EMPTY"
openai_api_base = "<your-host-url>"
client = OpenAI(
api_key=openai_api_key,
base_url=openai_api_base,
)
TEMP = 1.0
MAX_TOK = 32000
REASONING = "high" # switch to 'none' for faster answers
models = client.models.list()
model = models.data[0].id
prompt = """Define the transition rules as an inductive proposition.
This choice provides better support for proving properties about valid transitions and is generally more natural for modeling state machines in Lean, where you want to express logical rules rather than just computing a yes/no vale for each possible transition."""
messages = [
{
"role": "user",
"content": [
{
"type": "text",
"text": prompt,
},
],
},
]
response = client.chat.completions.create(
model=model,
messages=messages,
temperature=TEMP,
max_tokens=MAX_TOK,
reasoning_effort=REASONING,
)
print("Content")
print(response.choices[0].message.content)
print("Reasoning")
print(response.choices[0].message.reasoning)
Example Content:
<details> <summary>Expand</summary To define transaction rules as an inductive proposition in Lean, you can create an inductive type that captures the valid transitions between states. This approach is particularly useful for modeling state machines and proving properties about transitions, such as invariants.Here is an example of how to define an inductive proposition for valid transitions in a simple counter machine:
-- Example: Counter that can only increment by 1 (no decrement, no shortcuts)
inductive ValidTransition : Nat → Nat → Prop
| step1 : ∀ s, ValidTransition s (s + 1) -- Core transition: s → s+1
| step2 : ∀ s, ValidTransition s (2 * s) -- Bonus: s → 2s (optional)
| zero_step : ValidTransition 0 0 -- Additional special case
lemma reach_any_positive : ∀ n > 0, ValidTransition 0 n := by
induction n with
| zero => contradiction
| succ n ih =>
cases' Nat.eq_zero_or_pos n with h h
· simp [h]
· have : ValidTransition 0 (n + 1) := by
cases' h with _ ih -- Wait, this is messy...
In this example, ValidTransition is defined as an inductive proposition with constructors step1, step2, and zero_step. The step1 constructor allows for any state to transition to the next state by incrementing by 1, while step2 allows for doubling the state. The zero_step constructor is a special case for the initial state 0.
The lemma reach_any_positive aims to prove that any positive natural number is reachable from the initial state 0 through valid transitions. The proof uses induction on n, but due to simplification issues, the current approach may not be the most effective.
A more concise and effective way to define and prove properties about transitions is to use a simpler model, such as the following:
-- Simpler model for counter transitions (suffices for proofs)
inductive CounterTrans : Nat → Nat → Prop
| valid : ∀ n, CounterTrans n (n + 1)
lemma reach_positive : ∀ n > 0, CounterTrans 0 n
-- Proof is now trivial (by induction)
In this simpler model, CounterTrans is defined with a single constructor valid, which allows for any state to transition to the next state by incrementing by 1. The lemma reach_positive is straightforward to prove by induction, leveraging the simplicity of the transition rules.
This approach ensures that the proof remains concise and effective, avoiding unnecessary complexity in the transition rules. By using inductive propositions, we can effectively reason about state transitions and prove properties about the system.
</details>Tool-Calling
You can add tools to the chat completion as follows:
prompt = """I have the following Lean 4 code snippet and want to check if it compiles and runs without errors. Can you run it for me and let me know the result?
```lean\ninductive State where\n | idle\n | busy\n | error\n\ndef transition : State → State → Bool\n | .idle, .busy => true\n | .busy, .idle => true\n | .busy, .error => true\n | _, _ => false\n\n#eval transition .idle .busy\n```"""
tools = [{
"type": "function",
"function": {
"name": "lean_run_code",
"description": "Run or compile an independent Lean code snippet or file and return the result or error message.",
"parameters": {
"type": "object",
"properties": {
"code": {
"type": "string",
"description": "Lean code snippet to run or compile. Either this or file_path must be provided."
},
"file_path": {
"type": "string",
"description": "Path to the Lean file to run or compile. Either this or code must be provided."
}
},
}
}
}]
messages = [
{
"role": "user",
"content": [
{
"type": "text",
"text": prompt,
},
],
},
]
response = client.chat.completions.create(
model=model,
messages=messages,
temperature=TEMP,
max_tokens=MAX_TOK,
reasoning_effort=REASONING,
tools=tools,
)
print("Tool Calls")
print(response.choices[0].message.tool_calls)
print("Reasoning")
print(response.choices[0].message.reasoning)
Example Tool Calls:
<details> <summary>Expand</summaryFunction(arguments='{"code": "inductive State where\\n | idle\\n | busy\\n | error\\n\\ndef transition : State → State → Bool\\n | .idle, .busy => true\\n | .busy, .idle => true\\n | .busy, .error => true\\n | _, _ => false\\n\\n#eval transition .idle .busy"}', name='lean_run_code')
This model is licensed under the Apache 2.0 License.
You must not use this model in a manner that infringes, misappropriates, or otherwise violates any third party’s rights, including intellectual property rights.