lean-prove

name	lean-prove
description	Interactive Lean 4 proof development for this repo — the sorrify-then-fill loop driven over lean-lsp-mcp (goal state, diagnostics, Loogle search), with Duper/lean-auto escalation and a hard
argument-hint	[package] (Validator | Ckd | ValidatorUPLC)

Lean Prove

Mathlib-free proof development. Set SKILL=skills/lean-prove. All builds in WSL with export PATH=$HOME/.elan/bin:$HOME/.local/bin:$PATH.

Loop (references/loop.md)

1. Sorrify: state the theorem, sorry the body, lake build green.
2. Fill: drive lean-lsp-mcp — read the goal state, search (Loogle/local), attempt tactics, escalate to duper / lean-auto (Mathlib-free hammer) on leaf goals.
3. Gate: #print axioms <thm> shows only allow-listed axioms (docs/lean/AXIOMS.md). Any sorryAx / native_decide / off-list axiom = not done.

Guardrails

• Never introduce a new axiom without adding it to docs/lean/AXIOMS.md with justification.
• Commits: terse, no AI attribution, stage explicitly.