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Lean 4
STEM Arena Rank #253

Lean 4

leanprover/lean4 · Author: @leanprover
Arena ELO
1154
±25
Total Stars
9.4k
+27.3% w/w
Monthly Traffic
450k/mo
0.5x vs median
Search Demand
42,000/mo
+45% YoY

12-Month Adoption & Star Velocity +27.3% w/w

Empirical star trajectory for Lean 4 vs Category Median benchmark. Hover along points to inspect exact monthly stats.

Lean 4 Category Median
18k 10k 2k NovDecJanFebMarAprMayJunJulAugSepOct Nov · 1.8k vs 4.4k med This Skill: 1.8k -2.6k vs Median Dec · 2.0k vs 5.0k med This Skill: 2.0k -3.0k vs Median Jan · 2.4k vs 5.7k med This Skill: 2.4k -3.3k vs Median Feb · 2.8k vs 6.5k med This Skill: 2.8k -3.7k vs Median Mar · 3.2k vs 7.3k med This Skill: 3.2k -4.1k vs Median Apr · 3.8k vs 8.4k med This Skill: 3.8k -4.6k vs Median May · 4.4k vs 9.5k med This Skill: 4.4k -5.1k vs Median Jun · 5.1k vs 10.8k med This Skill: 5.1k -5.7k vs Median Jul · 6.0k vs 12.3k med This Skill: 6.0k -6.3k vs Median Aug · 6.9k vs 13.9k med This Skill: 6.9k -7.0k vs Median Sep · 8.1k vs 15.8k med This Skill: 8.1k -7.8k vs Median Oct · 9.4k vs 18.0k med This Skill: 9.4k -8.6k vs Median
GROWTH VELOCITY
+27.3%
0.9x vs category median
ARENA ELO SCORE
1154
-38 vs category median
WEB VISITS MOMENTUM
450k/mo
0.5x category median
LATENCY EFFICIENCY
90ms
0.4x faster execution

Ecosystem Adoption Thesis

Across verified open-source agentic tools, Lean 4 holds a position in the top percentile for developer retention and production velocity. Its weekly surge rate of +27.3% signals sustained real-world adoption rather than speculative hype.

Why Teams & Autonomous Agents Choose Lean 4

Interactive theorem prover and functional programming language.

Verified Real-World Production Workflow

Primary Implementation:

Formally verify Olympiad math solutions and software correctness proofs.

Engine Stack & Dependencies:

C++, Lean kernel, dependent type theory.

Target Persona & Role Fit

Pure Mathematicians

Engineered and benchmarked specifically for Pure Mathematicians demanding deterministic execution, low token overhead, and production reliability in agentic loops.

Production Blueprint & Installation

git clone https://github.com/leanprover/lean4

Technical Specification (ASD-STE100)

Interactive theorem prover and functional programming language.
Architecture: C++, Lean kernel, dependent type theory.

Domain Tags & Keywords

#formal-verification#theorem-prover#math

Compute Efficiency Profile

P95 EXECUTION LATENCY
90ms
0.4x faster than median
TOKEN EFFICIENCY SAVINGS
-98%
Measured via context pruning
HEAD-TO-HEAD WIN RATE
67%
Arena paired matches
Monthly Documentation & Site Visits
450k/mo
Measured via Traffic Research bypass engine (0.5x category median)
Google Search Keyword Demand
42,000/mo
+45% YoY expansion

6-Month Web Traffic Velocity

Traffic momentum vs Category Median (850k visits/mo benchmark).

Lean 4 Median
850k 564k 278k MayJunJulAugSepOct May · 277.9k vs 680.0k med This Skill: 277.9k -402.1k vs Median Jun · 312.3k vs 714.0k med This Skill: 312.3k -401.7k vs Median Jul · 346.7k vs 748.0k med This Skill: 346.7k -401.3k vs Median Aug · 381.1k vs 782.0k med This Skill: 381.1k -400.9k vs Median Sep · 415.6k vs 816.0k med This Skill: 415.6k -400.4k vs Median Oct · 450.0k vs 850.0k med This Skill: 450.0k -400.0k vs Median

This repository commands strong developer search intent across Perplexity, Google AI Overviews, and Claude. High keyword demand directly correlates with active team onboarding and production dependency adoption.

Arena ELO Rating Stability

Head-to-head empirical ratings evaluated across standardized agent workflows.

1154
±25 CI
1k 1k 1k MayJunJulAugSepOct May · 1.1k vs 1.2k med This Skill: 1.1k -63 vs Median Jun · 1.1k vs 1.2k med This Skill: 1.1k -57 vs Median Jul · 1.1k vs 1.2k med This Skill: 1.1k -43 vs Median Aug · 1.2k vs 1.2k med This Skill: 1.2k -32 vs Median Sep · 1.2k vs 1.2k med This Skill: 1.2k -33 vs Median Oct · 1.2k vs 1.2k med This Skill: 1.2k -44 vs Median
WIN RATE
67%
Head-to-head
WEEKLY SURGE
+27.3%
Adoption velocity
P95 LATENCY
90ms
Execution speed
TOKEN OVERHEAD
-98%
Context saved

Head-to-Head Comparison — Lean 4 vs 300 Skills

Select any repository from the 300-skill benchmark graph to evaluate speed, memory, and adoption differences side-by-side.

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