ProofMesh is a collaborative workspace for mathematical proofs: teams explore ideas in shared threads, challenge assumptions in context, and validate results with @Rho. Meanwhile, Idea2Story embeddings keep every suggestion grounded in the right theorem context.
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Write together, review in context, and keep every compiled revision aligned with formal reasoning.
Shared editor + Rho critique + compile rigor
A. Lovelace
Theorem 1. There are infinitely many prime numbers.
Proof.
Assume p_1, ..., p_n are all prime numbers. Define
N = p_1 p_2 ... p_n + 1.
Draft output: the contradiction step is still missing, so this PDF has not yet been refreshed with the final argument.
Shared feed, threaded critique, and branch history where Rho assistance and Idea2Story embedding retrieval keep exploration and formal rigor connected.
Elena opened a rigor review on theorem node
2m agoBoundary case k = 0 needs an explicit justification.
Sofia merged exploration branch euclid-fix
5m agoLean verification passed and discussion resolved.
David published a reusable lemma to shared KB
11m agoLemma `mod_one_not_divides` is now reusable by the team.
Active explorations
6
Resolved rigor checks
18
Brainstorm, branch, critique, and verify in one auditable workspace for mathematics.
Collaborate live on the same proof graph, with shared intent and clear ownership of each step.
Test bold lines of attack in branches, compare alternatives, and merge only what survives verification.
Debate assumptions directly on nodes and edges, resolve threads in context, and preserve the reasoning trail.
Ask for critique, formalization, or verification without breaking the flow of mathematical discussion.
Rho is the orchestration layer that keeps mathematical context intact while helping your team think, formalize, and verify in one place.
Rho routes each request through the right model and toolchain, while Idea2Story embeddings supply grounding context from nodes, discussions, and library items before formal checks run.
Rho selects the right reasoning mode, retrieves relevant context, and balances Gemini 3 Flash and Gemini 3 Pro for speed or depth based on the task.
Fast modes (Gemini 3 Flash)
Deep modes (Gemini 3 Pro)
We moved from scattered drafts to one shared proof graph. Every assumption, critique, and verification step is visible, discussable, and recoverable by the full team.
Join teams using ProofMesh to explore conjectures, collaborate in shared reasoning, and ship formally verified results with confidence.