ProofLayer / α

Mathematical
reasoning,
forked.

Where proofs live as repos. Where lemmas connect as graphs. Where AI watches your work and catches the mistake before you publish.

T P D₁ D₂ L₁ L₂ R₁ C R₂ forked 3× by @maiti · @terence

T: Theorem → P: Proof → L: Lemma → C: Corollary

How it works

Your paper is a graph.
Not a document.

Every proof, lemma, and definition is a node. Every dependency is an edge. Fork a branch off someone else's proof and build on it — with full attribution. The structure of mathematics is a DAG. Your platform should be too.

Theorem
Statement of result
Proof
Multi-step argument
Verified
AI checks each step
Forked
Build on it

Proof repositories

Every paper is a repo. Fork someone else's proof tree, propose a new approach, keep full attribution. Git-style branching for mathematics.

DAG blueprint editor

Map how your lemmas, corollaries, and definitions connect. The graph IS the paper structure — not a separate diagram.

AI verifies

Neurosymbolic AI co-prover

Multiple AI systems working together — understand your claims, decompose complex proofs, formalize into Lean or mathlib as you write.

From student to researcher

Accessible to undergrads writing their first proof. Powerful enough for Fields Medalists formalizing new theory. One platform, all levels.

LaTeX

Rich LaTeX editor

Built for mathematicians. Math mode, theorem environments, cross-references, and bibliography management — in context of your proof graph.

Polymath-native collaboration

Real-time multiplayer proof editing. Comment on specific steps. @mention contributors. Version history with full attribution — always.

The vision
"Think of 2050. A system where all mathematical reasoning lives — every proof, every conjecture, every failed attempt — machine-verified the instant it leaves your brain."
Not a tool. Not an app. An infrastructure layer for the collective intelligence of mathematics.
Researchers
1 Verified reasoning environment
0 Barriers between idea and proof

Every great proof started as
a conversation someone forked.

The infrastructure for mathematical reasoning is being built now. The question isn't whether collaborative, AI-verified math will exist. It's who builds it.

ProofLayer is live.